To solve the equation \(-4(2x - 11) = 12\), we will first distribute the \(-4\) on the left side of the equation.
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Distribute \(-4\): \[ -4(2x) + -4(-11) = 12 \] \[ -8x + 44 = 12 \]
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Next, we will isolate the term with \(x\) by moving \(44\) to the right side: \[ -8x = 12 - 44 \] \[ -8x = -32 \]
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Now, divide both sides by \(-8\) to solve for \(x\): \[ x = \frac{-32}{-8} \] \[ x = 4 \]
So, the solution is \(x = 4\), which corresponds to option B.