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Simplifying -4x + 12(x + 11) = -12(x + -1) Reorder the terms: -4x + 12(11 + x) = -12(x + -1) -4x + (11 * 12 + x * 12) = -12(x + -1) -4x + (132 + 12x) = -12(x + -1) Reorder the terms: 132 + -4x + 12x = -12(x + -1) Combine like terms: -4x + 12x = 8x 132 + 8x = -12(x + -1) Reorder the terms: 132 + 8x = -12(-1 + x) 132 + 8x = (-1 * -12 + x * -12) 132 + 8x = (12 + -12x) Solving 132 + 8x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 132 + 8x + 12x = 12 + -12x + 12x Combine like terms: 8x + 12x = 20x 132 + 20x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 132 + 20x = 12 + 0 132 + 20x = 12 Add '-132' to each side of the equation. 132 + -132 + 20x = 12 + -132 Combine like terms: 132 + -132 = 0 0 + 20x = 12 + -132 20x = 12 + -132 Combine like terms: 12 + -132 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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