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Simplifying -12(x + -1) + 84 = -11(x + -4) + 60 Reorder the terms: -12(-1 + x) + 84 = -11(x + -4) + 60 (-1 * -12 + x * -12) + 84 = -11(x + -4) + 60 (12 + -12x) + 84 = -11(x + -4) + 60 Reorder the terms: 12 + 84 + -12x = -11(x + -4) + 60 Combine like terms: 12 + 84 = 96 96 + -12x = -11(x + -4) + 60 Reorder the terms: 96 + -12x = -11(-4 + x) + 60 96 + -12x = (-4 * -11 + x * -11) + 60 96 + -12x = (44 + -11x) + 60 Reorder the terms: 96 + -12x = 44 + 60 + -11x Combine like terms: 44 + 60 = 104 96 + -12x = 104 + -11x Solving 96 + -12x = 104 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 96 + -12x + 11x = 104 + -11x + 11x Combine like terms: -12x + 11x = -1x 96 + -1x = 104 + -11x + 11x Combine like terms: -11x + 11x = 0 96 + -1x = 104 + 0 96 + -1x = 104 Add '-96' to each side of the equation. 96 + -96 + -1x = 104 + -96 Combine like terms: 96 + -96 = 0 0 + -1x = 104 + -96 -1x = 104 + -96 Combine like terms: 104 + -96 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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