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Simplifying -1(8x + -3) + -1(5x + -6) + 8 = -10(x + -1) + -1(6x + 11) + 3 Reorder the terms: -1(-3 + 8x) + -1(5x + -6) + 8 = -10(x + -1) + -1(6x + 11) + 3 (-3 * -1 + 8x * -1) + -1(5x + -6) + 8 = -10(x + -1) + -1(6x + 11) + 3 (3 + -8x) + -1(5x + -6) + 8 = -10(x + -1) + -1(6x + 11) + 3 Reorder the terms: 3 + -8x + -1(-6 + 5x) + 8 = -10(x + -1) + -1(6x + 11) + 3 3 + -8x + (-6 * -1 + 5x * -1) + 8 = -10(x + -1) + -1(6x + 11) + 3 3 + -8x + (6 + -5x) + 8 = -10(x + -1) + -1(6x + 11) + 3 Reorder the terms: 3 + 6 + 8 + -8x + -5x = -10(x + -1) + -1(6x + 11) + 3 Combine like terms: 3 + 6 = 9 9 + 8 + -8x + -5x = -10(x + -1) + -1(6x + 11) + 3 Combine like terms: 9 + 8 = 17 17 + -8x + -5x = -10(x + -1) + -1(6x + 11) + 3 Combine like terms: -8x + -5x = -13x 17 + -13x = -10(x + -1) + -1(6x + 11) + 3 Reorder the terms: 17 + -13x = -10(-1 + x) + -1(6x + 11) + 3 17 + -13x = (-1 * -10 + x * -10) + -1(6x + 11) + 3 17 + -13x = (10 + -10x) + -1(6x + 11) + 3 Reorder the terms: 17 + -13x = 10 + -10x + -1(11 + 6x) + 3 17 + -13x = 10 + -10x + (11 * -1 + 6x * -1) + 3 17 + -13x = 10 + -10x + (-11 + -6x) + 3 Reorder the terms: 17 + -13x = 10 + -11 + 3 + -10x + -6x Combine like terms: 10 + -11 = -1 17 + -13x = -1 + 3 + -10x + -6x Combine like terms: -1 + 3 = 2 17 + -13x = 2 + -10x + -6x Combine like terms: -10x + -6x = -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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