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Solve the equation. \( \frac{1}{2}(x + 10) = -31 \) A. \( x = -72 \) B. \( x = -18 \) C. \( x = -82 \) D....

8. Solve the equation.
\( \frac{1}{2}(x + 10) = -31 \)
A. \( x = -72 \)
B. \( x = -18 \)
C. \( x = -82 \)
D. \( x = -52 \)

Answer

To solve the equation \( \frac{1}{2}(x + 10) = -31 \), first multiply both sides by 2 to eliminate the fraction:

\( x + 10 = -62 \)

Next, subtract 10 from both sides to solve for \( x \):

\( x = -62 - 10 \)

\( x = -72 \)

The correct answer is A. \( x = -72 \)

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