Question
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b. \( -2(x-7)+5 x \)

Ask by Dawson Peters. in the United States
Jan 15,2025

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Tutor-Verified Answer

Answer

\(3x + 14\)

Solution

Calculate or simplify the expression \( -2(x-7)+5x \). Simplify the expression by following steps: - step0: Solution: \(-2\left(x-7\right)+5x\) - step1: Expand the expression: \(-2x+14+5x\) - step2: Add the terms: \(3x+14\) The simplified form of the expression \(-2(x-7)+5x\) is \(3x+14\).

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Bonus Knowledge

To simplify the expression, distribute the \(-2\) across the parentheses: \( -2(x) + 14 + 5x \). This combines to give \(3x + 14\). So, the simplified form of the expression is \(3x + 14\). For problem-solving, always check your distribution and combine like terms step-by-step to avoid mistakes. In this case, forgetting to distribute the \(-2\) properly could lead you to an incorrect final expression. Always double-check your work!

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