Question
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Simplify \( 2 x-9 x+7 \)

Ask by Macdonald Rojas. in the United States
Jan 23,2025

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Tutor-Verified Answer

Answer

The simplified form of \( 2x - 9x + 7 \) is \( -7x + 7 \).

Solution

To simplify the expression \( 2x - 9x + 7 \), follow these steps: 1. **Combine like terms (terms with \(x\)):** \[ 2x - 9x = -7x \] 2. **Add the constant term:** \[ -7x + 7 \] So, the simplified form of the expression is: \[ -7x + 7 \] **Alternatively**, you can factor out \(-7\) from the expression: \[ -7x + 7 = -7(x - 1) \] Both forms are correct, but \(-7x + 7\) is typically preferred for simplicity. **Final Answer:** \[ -7x + 7 \]

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The Deep Dive

To simplify the expression \( 2x - 9x + 7 \), you start by combining like terms. First, combine the \( x \) terms: \( 2x - 9x = -7x \). Now, rewrite the expression: \(-7x + 7\). So, the simplified form of \( 2x - 9x + 7 \) is \( -7x + 7 \).

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