To solve the equation \(- 4(2x - 11) = 12\), we can follow these steps:
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Distribute the -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: \[ x = \frac{-32}{-8} = 4 \]
So, the solution is: \[ x = 4 \]
Therefore, the correct answer is x = 4.