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simplify the expression: 9x - 10x + 7 + 10x + -10x

Question

simplify the expression:
9x - 10x + 7 + 10x + -10x

Explanation:

Step1: Combine like terms for x

First, identify the terms with \( x \): \( 9x \), \( -10x \), \( 10x \), and \( -10x \).
Combine them: \( 9x - 10x + 10x - 10x \).
\( 9x + (-10x + 10x) - 10x = 9x + 0 - 10x = (9x - 10x) = -x \).

Step2: Combine constant terms

The only constant term is \( 7 \), so it remains as is.

Step3: Combine results

Now, combine the simplified \( x \)-term and the constant term: \( -x + 7 \).

Answer:

\( -x + 7 \)