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Simplifying 4(-3x + 2) = -52 Reorder the terms: 4(2 + -3x) = -52 (2 * 4 + -3x * 4) = -52 (8 + -12x) = -52 Solving 8 + -12x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -12x = -52 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = -52 + -8 -12x = -52 + -8 Combine like terms: -52 + -8 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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