\"\"

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\"\"\"\"

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The equation is \"\".

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Apply division property of equality: Divide each side by 4.

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\"\"

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Combine like terms using distributive property: ab + ac = a(b + c).

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\"\"

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\"\"                      (Cancel common terms)

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Write two cases:

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Case-1: \"\"

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\"\"

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Case-2: \"\"

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\"\"

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\"\"

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Solve the equation for Case-1.

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\"\"

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Apply subtraction property of equality: Subtract x from each side.

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\"\"

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Apply commutative property of addition: \"\".

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\"\"

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\"\"              (Apply Additive inverse property: \"\")

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\"\"                    (ApplyAdditive identity property: 2 + 0 = 2)

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\"\"                          (Subtract: \"\" )\"\"

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Apply subtraction property of equality: Subtract 4 from each side.

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\"\"

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\"\"                     (Apply Additive inverse property: \"\")

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\"\"                           (Apply Additive identity property: \"\")

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\"\"                             (Subtract: \"\") \"\"

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Apply division property of equality: Divide each side by 2.

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\"\"                            (Divide each side by 2)        

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\"\"                                   (Cancel common terms)

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\"\"

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Check:

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To check the solution, substitute \"\" in original equation.

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\"\"

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\"\"               (Multiply: \"\")

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\"\"                                 (Add:\"\")

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\"\"                                    (The absolute value of 1 is 1)

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Compare the values the equation is true.

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\"\"

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Solve the equation for Case-2.

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\"\"

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\"\"                          (Product of two different signs is neative)

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Apply subtraction property of equality: Subtract 3x from each side.

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\"\"

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Apply commutative property of addition: \"\".

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\"\"

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\"\"            (Apply Additive inverse property: \"\")

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\"\"                  (Apply Additive identity property: \"\")

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\"\"                        (Subtract: \"\") \"\"

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Apply addition property of equality: Add 2 to each side.

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\"\"

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\"\"                  (Apply Additive inverse property: \"\")

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\"\"                        (Apply Additive identity property: \"\")

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\"\"                              (Add: \"\")\"\"

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Apply division property of equality: Divide each side by negative 4.

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 \"\"

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\"\"                               (Cancel common terms)

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\"\"                                          (Divide: \"\")

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\"\"

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Check:

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To check the solution, substitute \"\" in original equation.

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\"\"

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\"\"      (Multiply: \"\")

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\"\"            (Add: \"\")

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\"\"                     (Add: \"\")

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\"\"                           (The absolute value of \"\" is\"\")

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Compare the values the equation is true. \"\"

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The solution set is \"\".