To solve the equation \( 102.5(x - 11.92) = 71.6 \), we can follow these steps:
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Distribute the \( 102.5 \) on the left side: \[ 102.5x - 102.5 \times 11.92 = 71.6 \] \[ 102.5x - 1224.6 = 71.6 \]
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Add \( 1224.6 \) to both sides: \[ 102.5x = 71.6 + 1224.6 \] \[ 102.5x = 1296.2 \]
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Divide both sides by \( 102.5 \): \[ x = \frac{1296.2}{102.5} \] \[ x \approx 12.61951219512195 \]
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Round the answer to 3 decimal places: \[ x \approx 12.619 \]
Thus, the answer is 12.619.