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Simplifying -1(5x + -5) + -1(5x + -6) + 12 = -12(x + -1) + -1(3x + 12) + 3 Reorder the terms: -1(-5 + 5x) + -1(5x + -6) + 12 = -12(x + -1) + -1(3x + 12) + 3 (-5 * -1 + 5x * -1) + -1(5x + -6) + 12 = -12(x + -1) + -1(3x + 12) + 3 (5 + -5x) + -1(5x + -6) + 12 = -12(x + -1) + -1(3x + 12) + 3 Reorder the terms: 5 + -5x + -1(-6 + 5x) + 12 = -12(x + -1) + -1(3x + 12) + 3 5 + -5x + (-6 * -1 + 5x * -1) + 12 = -12(x + -1) + -1(3x + 12) + 3 5 + -5x + (6 + -5x) + 12 = -12(x + -1) + -1(3x + 12) + 3 Reorder the terms: 5 + 6 + 12 + -5x + -5x = -12(x + -1) + -1(3x + 12) + 3 Combine like terms: 5 + 6 = 11 11 + 12 + -5x + -5x = -12(x + -1) + -1(3x + 12) + 3 Combine like terms: 11 + 12 = 23 23 + -5x + -5x = -12(x + -1) + -1(3x + 12) + 3 Combine like terms: -5x + -5x = -10x 23 + -10x = -12(x + -1) + -1(3x + 12) + 3 Reorder the terms: 23 + -10x = -12(-1 + x) + -1(3x + 12) + 3 23 + -10x = (-1 * -12 + x * -12) + -1(3x + 12) + 3 23 + -10x = (12 + -12x) + -1(3x + 12) + 3 Reorder the terms: 23 + -10x = 12 + -12x + -1(12 + 3x) + 3 23 + -10x = 12 + -12x + (12 * -1 + 3x * -1) + 3 23 + -10x = 12 + -12x + (-12 + -3x) + 3 Reorder the terms: 23 + -10x = 12 + -12 + 3 + -12x + -3x Combine like terms: 12 + -12 = 0 23 + -10x = 0 + 3 + -12x + -3x 23 + -10x = 3 + -12x + -3x Combine like terms: -12x + -3x = -15x 23 + -10x = 3 + -15x Solving 23 + -10x = 3 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 23 + -10x + 15x = 3 + -15x + 15x Combine like terms: -10x + 15x = 5x 23 + 5x = 3 + -15x + 15x Combine like terms: -15x + 15x = 0 23 + 5x = 3 + 0 23 + 5x = 3 Add '-23' to each side of the equation. 23 + -23 + 5x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 3 + -23 5x = 3 + -23 Combine like terms: 3 + -23 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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