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Simplifying -1[8x + -1(3x + 1)] = -5 + -1[3(3x + -3) + -2x] Reorder the terms: -1[8x + -1(1 + 3x)] = -5 + -1[3(3x + -3) + -2x] -1[8x + (1 * -1 + 3x * -1)] = -5 + -1[3(3x + -3) + -2x] -1[8x + (-1 + -3x)] = -5 + -1[3(3x + -3) + -2x] Reorder the terms: -1[-1 + 8x + -3x] = -5 + -1[3(3x + -3) + -2x] Combine like terms: 8x + -3x = 5x -1[-1 + 5x] = -5 + -1[3(3x + -3) + -2x] [-1 * -1 + 5x * -1] = -5 + -1[3(3x + -3) + -2x] [1 + -5x] = -5 + -1[3(3x + -3) + -2x] Reorder the terms: 1 + -5x = -5 + -1[3(-3 + 3x) + -2x] 1 + -5x = -5 + -1[(-3 * 3 + 3x * 3) + -2x] 1 + -5x = -5 + -1[(-9 + 9x) + -2x] Combine like terms: 9x + -2x = 7x 1 + -5x = -5 + -1[-9 + 7x] 1 + -5x = -5 + [-9 * -1 + 7x * -1] 1 + -5x = -5 + [9 + -7x] Combine like terms: -5 + 9 = 4 1 + -5x = 4 + -7x Solving 1 + -5x = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 1 + -5x + 7x = 4 + -7x + 7x Combine like terms: -5x + 7x = 2x 1 + 2x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 2x = 4 + 0 1 + 2x = 4 Add '-1' to each side of the equation. 1 + -1 + 2x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 4 + -1 2x = 4 + -1 Combine like terms: 4 + -1 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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