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Simplifying -1[10x + -1(3x + 8)] = -5 + -1[4(3x + -4) + -3x] Reorder the terms: -1[10x + -1(8 + 3x)] = -5 + -1[4(3x + -4) + -3x] -1[10x + (8 * -1 + 3x * -1)] = -5 + -1[4(3x + -4) + -3x] -1[10x + (-8 + -3x)] = -5 + -1[4(3x + -4) + -3x] Reorder the terms: -1[-8 + 10x + -3x] = -5 + -1[4(3x + -4) + -3x] Combine like terms: 10x + -3x = 7x -1[-8 + 7x] = -5 + -1[4(3x + -4) + -3x] [-8 * -1 + 7x * -1] = -5 + -1[4(3x + -4) + -3x] [8 + -7x] = -5 + -1[4(3x + -4) + -3x] Reorder the terms: 8 + -7x = -5 + -1[4(-4 + 3x) + -3x] 8 + -7x = -5 + -1[(-4 * 4 + 3x * 4) + -3x] 8 + -7x = -5 + -1[(-16 + 12x) + -3x] Combine like terms: 12x + -3x = 9x 8 + -7x = -5 + -1[-16 + 9x] 8 + -7x = -5 + [-16 * -1 + 9x * -1] 8 + -7x = -5 + [16 + -9x] Combine like terms: -5 + 16 = 11 8 + -7x = 11 + -9x Solving 8 + -7x = 11 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + -7x + 9x = 11 + -9x + 9x Combine like terms: -7x + 9x = 2x 8 + 2x = 11 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 2x = 11 + 0 8 + 2x = 11 Add '-8' to each side of the equation. 8 + -8 + 2x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 11 + -8 2x = 11 + -8 Combine like terms: 11 + -8 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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