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Simplifying -1(8x + -9) + -1(3x + -5) + 3 = -8(x + -8) + -1(5x + 8) + 3 Reorder the terms: -1(-9 + 8x) + -1(3x + -5) + 3 = -8(x + -8) + -1(5x + 8) + 3 (-9 * -1 + 8x * -1) + -1(3x + -5) + 3 = -8(x + -8) + -1(5x + 8) + 3 (9 + -8x) + -1(3x + -5) + 3 = -8(x + -8) + -1(5x + 8) + 3 Reorder the terms: 9 + -8x + -1(-5 + 3x) + 3 = -8(x + -8) + -1(5x + 8) + 3 9 + -8x + (-5 * -1 + 3x * -1) + 3 = -8(x + -8) + -1(5x + 8) + 3 9 + -8x + (5 + -3x) + 3 = -8(x + -8) + -1(5x + 8) + 3 Reorder the terms: 9 + 5 + 3 + -8x + -3x = -8(x + -8) + -1(5x + 8) + 3 Combine like terms: 9 + 5 = 14 14 + 3 + -8x + -3x = -8(x + -8) + -1(5x + 8) + 3 Combine like terms: 14 + 3 = 17 17 + -8x + -3x = -8(x + -8) + -1(5x + 8) + 3 Combine like terms: -8x + -3x = -11x 17 + -11x = -8(x + -8) + -1(5x + 8) + 3 Reorder the terms: 17 + -11x = -8(-8 + x) + -1(5x + 8) + 3 17 + -11x = (-8 * -8 + x * -8) + -1(5x + 8) + 3 17 + -11x = (64 + -8x) + -1(5x + 8) + 3 Reorder the terms: 17 + -11x = 64 + -8x + -1(8 + 5x) + 3 17 + -11x = 64 + -8x + (8 * -1 + 5x * -1) + 3 17 + -11x = 64 + -8x + (-8 + -5x) + 3 Reorder the terms: 17 + -11x = 64 + -8 + 3 + -8x + -5x Combine like terms: 64 + -8 = 56 17 + -11x = 56 + 3 + -8x + -5x Combine like terms: 56 + 3 = 59 17 + -11x = 59 + -8x + -5x Combine like terms: -8x + -5x = -13x 17 + -11x = 59 + -13x Solving 17 + -11x = 59 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 17 + -11x + 13x = 59 + -13x + 13x Combine like terms: -11x + 13x = 2x 17 + 2x = 59 + -13x + 13x Combine like terms: -13x + 13x = 0 17 + 2x = 59 + 0 17 + 2x = 59 Add '-17' to each side of the equation. 17 + -17 + 2x = 59 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 59 + -17 2x = 59 + -17 Combine like terms: 59 + -17 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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