To solve the equation \(-4(2x - 11) = 12\), follow these steps:
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Distribute \(-4\) on the left side: \[ -8x + 44 = 12 \]
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Subtract \(44\) from both sides: \[ -8x = 12 - 44 \] \[ -8x = -32 \]
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Divide both sides by \(-8\): \[ x = \frac{-32}{-8} \] \[ x = 4 \]
Thus, the solution is \(x = 4\).