QQuestionMathematics
QuestionMathematics
"Simplify the expression by combining like terms:
1 + 3x−8x+ 7"
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Answer
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Step 1:: Group the like terms together, which are the terms containing the same variable(s).
\begin{align*}
1 + 3x - 8x + 7 &= \boxed{(1 + 7)} + \boxed{(3x - 8x)} \ &= 8 + (- 5x) \end{align*}
Step 2:: Now, simplify the expression in each box separately.
\begin{align*}
For the first box, we have: \boxed{(1 + 7)} &= 1 + 7 \ &= 8 \end{align*}
Step 3:: Similarly, for the second box, we have:
\begin{align*}
\boxed{(3x - 8x)} &= 3x - 8x \ &= - 5x \end{align*}
Step 4:: Combine the results from Steps 2 and 3.
\begin{align*}
1 + 3x - 8x + 7 &= 8 + (- 5x) \ &= \boxed{8 - 5x} \end{align*}
Final Answer
The simplified expression is $8 - 5x$.
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