Question
Simplify \( 2 x-9 x+7 \)
Ask by Macdonald Rojas. in the United States
Jan 23,2025
Real Tutor Solution
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:**
\[
-7x + 7
\]
Reviewed and approved by the UpStudy tutoring team
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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 \( -7x + 7 \).