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