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To solve for x, we need to isolate the variable on one side of the equation. Here's how:
-4(2x - 11) = 12
Distribute -4 to the terms inside the parentheses:
-8x + 44 = 12
Now, subtract 44 from both sides of the equation:
-8x = 12 - 44
Simplify:
-8x = -32
Now, divide both sides of the equation by -8 to solve for x:
x = -32 / -8
Simplify:
x = 4
Therefore, the correct solution is x = 4.