To solve the equation \( 102.5(x - 11.92) = 71.6 \), we can follow these steps:
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First, we can simplify the equation by dividing both sides by \( 102.5 \):
\[ x - 11.92 = \frac{71.6}{102.5} \]
Calculating the right side:
\[ \frac{71.6}{102.5} \approx 0.698 \]
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Now we have:
\[ x - 11.92 \approx 0.698 \]
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Next, we solve for \( x \) by adding \( 11.92 \) to both sides:
\[ x \approx 0.698 + 11.92 \]
\[ x \approx 12.618 \]
Rounding this to three decimal places, we find:
\[ x \approx 12.618 \]
Thus, the correct response is:
12.618
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