To solve the equation \( 8(x - 20) = 304 \), follow these steps:
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Distribute the 8: \[ 8x - 160 = 304 \]
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Add 160 to both sides: \[ 8x = 304 + 160 \] \[ 8x = 464 \]
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Divide both sides by 8: \[ x = \frac{464}{8} \] \[ x = 58 \]
Thus, the solution is: \[ \boxed{58} \]