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Chapter 1: Problem 47

Simplify each algebraic expression. $$7 x+10 x$$

Short Answer

Expert verified
The simplified form of the expression 7x + 10x is 17x.

Step by step solution

01

Recognize Like Terms

The expression to simplify is \(7x + 10x\). We can observe that both 7x and 10x are like terms as they both contain the same variable 'x'.
02

Apply Associative Property of Addition

The associative property of addition allows us to add together any terms that are alike. In our case, our like terms are 7x and 10x. So, we add the coefficients of these like terms to simplify the expression: \(7x + 10x = (7 + 10) x = 17x.\)

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