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Simplifying -1(3x + -6) + -1(2x + -8) + 6 = -8(x + -8) + -1(6x + 3) + 9 Reorder the terms: -1(-6 + 3x) + -1(2x + -8) + 6 = -8(x + -8) + -1(6x + 3) + 9 (-6 * -1 + 3x * -1) + -1(2x + -8) + 6 = -8(x + -8) + -1(6x + 3) + 9 (6 + -3x) + -1(2x + -8) + 6 = -8(x + -8) + -1(6x + 3) + 9 Reorder the terms: 6 + -3x + -1(-8 + 2x) + 6 = -8(x + -8) + -1(6x + 3) + 9 6 + -3x + (-8 * -1 + 2x * -1) + 6 = -8(x + -8) + -1(6x + 3) + 9 6 + -3x + (8 + -2x) + 6 = -8(x + -8) + -1(6x + 3) + 9 Reorder the terms: 6 + 8 + 6 + -3x + -2x = -8(x + -8) + -1(6x + 3) + 9 Combine like terms: 6 + 8 = 14 14 + 6 + -3x + -2x = -8(x + -8) + -1(6x + 3) + 9 Combine like terms: 14 + 6 = 20 20 + -3x + -2x = -8(x + -8) + -1(6x + 3) + 9 Combine like terms: -3x + -2x = -5x 20 + -5x = -8(x + -8) + -1(6x + 3) + 9 Reorder the terms: 20 + -5x = -8(-8 + x) + -1(6x + 3) + 9 20 + -5x = (-8 * -8 + x * -8) + -1(6x + 3) + 9 20 + -5x = (64 + -8x) + -1(6x + 3) + 9 Reorder the terms: 20 + -5x = 64 + -8x + -1(3 + 6x) + 9 20 + -5x = 64 + -8x + (3 * -1 + 6x * -1) + 9 20 + -5x = 64 + -8x + (-3 + -6x) + 9 Reorder the terms: 20 + -5x = 64 + -3 + 9 + -8x + -6x Combine like terms: 64 + -3 = 61 20 + -5x = 61 + 9 + -8x + -6x Combine like terms: 61 + 9 = 70 20 + -5x = 70 + -8x + -6x Combine like terms: -8x + -6x = -14x 20 + -5x = 70 + -14x Solving 20 + -5x = 70 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 20 + -5x + 14x = 70 + -14x + 14x Combine like terms: -5x + 14x = 9x 20 + 9x = 70 + -14x + 14x Combine like terms: -14x + 14x = 0 20 + 9x = 70 + 0 20 + 9x = 70 Add '-20' to each side of the equation. 20 + -20 + 9x = 70 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = 70 + -20 9x = 70 + -20 Combine like terms: 70 + -20 = 50 9x = 50 Divide each side by '9'. x = 5.555555556 Simplifying x = 5.555555556
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