\"\"

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A candy store wants to creat a mix using two hard candies.

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One is priced at \"\" per pound and other is priced at \"\" per pound.

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Find pounds of the \"\" candy should mixed with \"\" pounds of the \"\" candy.

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Total price of the mixed candies is \"\" per pound.

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Let \"\" is pounds of \"\".

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Make a table:

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
Hard candiesNumber of poundsPrice \

Total price

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First candy  \"\"\"\"\"\"
Second Candy \ \ \"\"\"\"\"\"
Total\"\"  \"\"\"\"
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Observe the table:

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Total price of first candy  plus  Total price of second candy  equals  Total price of two candies.

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\"\".

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\"\"

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Solve the equation.

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\"\"                           (Original equation) 

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\"\"                            (Simplify)

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

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

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

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

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

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\"\"                                                               (Cancel common terms)

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\"\" pounds of the second candy should be mixed with \"\" pounds of the first candy.

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\"\"

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\"\" pounds of the second candy should be mixed with \"\" pounds of the first candy.

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