Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\(-9x + 1\)
Solution
To subtract the two expressions \( (-7x + 2) \) and \( (2x + 1) \), follow these steps:
\[
\begin{align*}
(-7x + 2) - (2x + 1) & = -7x + 2 - 2x - 1 \quad \text{(Distribute the negative sign)} \\
& = (-7x - 2x) + (2 - 1) \quad \text{(Group like terms)} \\
& = -9x + 1 \quad \text{(Combine like terms)} \\
\end{align*}
\]
**Final Answer:** \(-9x + 1\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
Let’s simplify that expression by distributing the subtraction across both terms. Start with \( (-7x + 2) - (2x + 1) \). This becomes \( -7x + 2 - 2x - 1 \). Now, combine like terms: \( -7x - 2x = -9x \) and \( 2 - 1 = 1 \). So, the final simplified expression is \( -9x + 1 \). Fun fact: In algebra, combining like terms is a powerful tool that simplifies expressions. Just like decluttering your home makes it easier to find your favorite anything, combining like terms makes it easier to see the math!
