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Simplifying -1[8x + -1(3x + 2)] = -5 + -5[3(3x + -4) + -2x] Reorder the terms: -1[8x + -1(2 + 3x)] = -5 + -5[3(3x + -4) + -2x] -1[8x + (2 * -1 + 3x * -1)] = -5 + -5[3(3x + -4) + -2x] -1[8x + (-2 + -3x)] = -5 + -5[3(3x + -4) + -2x] Reorder the terms: -1[-2 + 8x + -3x] = -5 + -5[3(3x + -4) + -2x] Combine like terms: 8x + -3x = 5x -1[-2 + 5x] = -5 + -5[3(3x + -4) + -2x] [-2 * -1 + 5x * -1] = -5 + -5[3(3x + -4) + -2x] [2 + -5x] = -5 + -5[3(3x + -4) + -2x] Reorder the terms: 2 + -5x = -5 + -5[3(-4 + 3x) + -2x] 2 + -5x = -5 + -5[(-4 * 3 + 3x * 3) + -2x] 2 + -5x = -5 + -5[(-12 + 9x) + -2x] Combine like terms: 9x + -2x = 7x 2 + -5x = -5 + -5[-12 + 7x] 2 + -5x = -5 + [-12 * -5 + 7x * -5] 2 + -5x = -5 + [60 + -35x] Combine like terms: -5 + 60 = 55 2 + -5x = 55 + -35x Solving 2 + -5x = 55 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 2 + -5x + 35x = 55 + -35x + 35x Combine like terms: -5x + 35x = 30x 2 + 30x = 55 + -35x + 35x Combine like terms: -35x + 35x = 0 2 + 30x = 55 + 0 2 + 30x = 55 Add '-2' to each side of the equation. 2 + -2 + 30x = 55 + -2 Combine like terms: 2 + -2 = 0 0 + 30x = 55 + -2 30x = 55 + -2 Combine like terms: 55 + -2 = 53 30x = 53 Divide each side by '30'. x = 1.766666667 Simplifying x = 1.766666667
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