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Simplifying -1(10x + -4) + -1(3x + -6) + 7 = -11(x + -1) + -1(5x + 12) + 3 Reorder the terms: -1(-4 + 10x) + -1(3x + -6) + 7 = -11(x + -1) + -1(5x + 12) + 3 (-4 * -1 + 10x * -1) + -1(3x + -6) + 7 = -11(x + -1) + -1(5x + 12) + 3 (4 + -10x) + -1(3x + -6) + 7 = -11(x + -1) + -1(5x + 12) + 3 Reorder the terms: 4 + -10x + -1(-6 + 3x) + 7 = -11(x + -1) + -1(5x + 12) + 3 4 + -10x + (-6 * -1 + 3x * -1) + 7 = -11(x + -1) + -1(5x + 12) + 3 4 + -10x + (6 + -3x) + 7 = -11(x + -1) + -1(5x + 12) + 3 Reorder the terms: 4 + 6 + 7 + -10x + -3x = -11(x + -1) + -1(5x + 12) + 3 Combine like terms: 4 + 6 = 10 10 + 7 + -10x + -3x = -11(x + -1) + -1(5x + 12) + 3 Combine like terms: 10 + 7 = 17 17 + -10x + -3x = -11(x + -1) + -1(5x + 12) + 3 Combine like terms: -10x + -3x = -13x 17 + -13x = -11(x + -1) + -1(5x + 12) + 3 Reorder the terms: 17 + -13x = -11(-1 + x) + -1(5x + 12) + 3 17 + -13x = (-1 * -11 + x * -11) + -1(5x + 12) + 3 17 + -13x = (11 + -11x) + -1(5x + 12) + 3 Reorder the terms: 17 + -13x = 11 + -11x + -1(12 + 5x) + 3 17 + -13x = 11 + -11x + (12 * -1 + 5x * -1) + 3 17 + -13x = 11 + -11x + (-12 + -5x) + 3 Reorder the terms: 17 + -13x = 11 + -12 + 3 + -11x + -5x Combine like terms: 11 + -12 = -1 17 + -13x = -1 + 3 + -11x + -5x Combine like terms: -1 + 3 = 2 17 + -13x = 2 + -11x + -5x Combine like terms: -11x + -5x = -16x 17 + -13x = 2 + -16x Solving 17 + -13x = 2 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 17 + -13x + 16x = 2 + -16x + 16x Combine like terms: -13x + 16x = 3x 17 + 3x = 2 + -16x + 16x Combine like terms: -16x + 16x = 0 17 + 3x = 2 + 0 17 + 3x = 2 Add '-17' to each side of the equation. 17 + -17 + 3x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 2 + -17 3x = 2 + -17 Combine like terms: 2 + -17 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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