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Simplifying -1(8x + -4) + -1(5x + -5) + 8 = -8(x + -1) + -1(8x + 9) + 3 Reorder the terms: -1(-4 + 8x) + -1(5x + -5) + 8 = -8(x + -1) + -1(8x + 9) + 3 (-4 * -1 + 8x * -1) + -1(5x + -5) + 8 = -8(x + -1) + -1(8x + 9) + 3 (4 + -8x) + -1(5x + -5) + 8 = -8(x + -1) + -1(8x + 9) + 3 Reorder the terms: 4 + -8x + -1(-5 + 5x) + 8 = -8(x + -1) + -1(8x + 9) + 3 4 + -8x + (-5 * -1 + 5x * -1) + 8 = -8(x + -1) + -1(8x + 9) + 3 4 + -8x + (5 + -5x) + 8 = -8(x + -1) + -1(8x + 9) + 3 Reorder the terms: 4 + 5 + 8 + -8x + -5x = -8(x + -1) + -1(8x + 9) + 3 Combine like terms: 4 + 5 = 9 9 + 8 + -8x + -5x = -8(x + -1) + -1(8x + 9) + 3 Combine like terms: 9 + 8 = 17 17 + -8x + -5x = -8(x + -1) + -1(8x + 9) + 3 Combine like terms: -8x + -5x = -13x 17 + -13x = -8(x + -1) + -1(8x + 9) + 3 Reorder the terms: 17 + -13x = -8(-1 + x) + -1(8x + 9) + 3 17 + -13x = (-1 * -8 + x * -8) + -1(8x + 9) + 3 17 + -13x = (8 + -8x) + -1(8x + 9) + 3 Reorder the terms: 17 + -13x = 8 + -8x + -1(9 + 8x) + 3 17 + -13x = 8 + -8x + (9 * -1 + 8x * -1) + 3 17 + -13x = 8 + -8x + (-9 + -8x) + 3 Reorder the terms: 17 + -13x = 8 + -9 + 3 + -8x + -8x Combine like terms: 8 + -9 = -1 17 + -13x = -1 + 3 + -8x + -8x Combine like terms: -1 + 3 = 2 17 + -13x = 2 + -8x + -8x Combine like terms: -8x + -8x = -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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