Math

QuestionSimplify the expression by combining like terms: 7x+72x+2+5x7x + 7 - 2x + 2 + 5x.

Studdy Solution

STEP 1

Assumptions1. The algebraic expression is 7x+7x++5x7x +7 -x + +5x . Like terms are terms that have the same variable and exponent. In this case, the like terms are the terms with the variable xx and the constant terms.

STEP 2

First, we need to identify the like terms in the algebraic expression.The like terms are 7x7x, 2x-2x, and 5x5x for the terms with xx and 77 and 22 for the constant terms.

STEP 3

Now, we combine the like terms with xx.
7x2x+5x7x -2x +5x

STEP 4

Calculate the combined result of the terms with xx.
7x2x+x=10x7x -2x +x =10x

STEP 5

Next, we combine the constant terms.
7+27 +2

STEP 6

Calculate the combined result of the constant terms.
+2=9 +2 =9

STEP 7

Finally, we write the simplified algebraic expression by combining the results from step4 and step6.
10x+910x +9So, the simplified algebraic expression is 10x+910x +9.

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