\"\"\"\"

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The equation is \"\"

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Division property of equality:

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For any real numbers a, b and c, with \"\", if \"\" then \"\"

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\"\"               (Divide each side by 4)     

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\"\"             (Distribute 4)

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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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Combine like terms using distributive property: \"\".

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Solve the equation for Case-1.

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\"\"

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\"\"          (Subtract 3x from each side)

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\"\"          (Apply Commutative property: \"\".)

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

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\"\"                                 (ApplyAdditive identity property: \"\")

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

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\"\"                 (Subtract 2 from each side)

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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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\"\"                            (Divide each side by -2)        

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\"\"                                   (Cancel common terms)

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\"\"

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

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\"\"      (Subtract 3x from each side)

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\"\"      (Apply Commutative property; \"\".)

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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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\"\"

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\"\"               (Add 2 to each side)

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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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 \"\"                           (Divide each side by4)

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

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

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The solution set is \"\"

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