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Simplifying -1[10x + -1(2x + 5)] = -6 + -1[4(3x + -4) + -2x] Reorder the terms: -1[10x + -1(5 + 2x)] = -6 + -1[4(3x + -4) + -2x] -1[10x + (5 * -1 + 2x * -1)] = -6 + -1[4(3x + -4) + -2x] -1[10x + (-5 + -2x)] = -6 + -1[4(3x + -4) + -2x] Reorder the terms: -1[-5 + 10x + -2x] = -6 + -1[4(3x + -4) + -2x] Combine like terms: 10x + -2x = 8x -1[-5 + 8x] = -6 + -1[4(3x + -4) + -2x] [-5 * -1 + 8x * -1] = -6 + -1[4(3x + -4) + -2x] [5 + -8x] = -6 + -1[4(3x + -4) + -2x] Reorder the terms: 5 + -8x = -6 + -1[4(-4 + 3x) + -2x] 5 + -8x = -6 + -1[(-4 * 4 + 3x * 4) + -2x] 5 + -8x = -6 + -1[(-16 + 12x) + -2x] Combine like terms: 12x + -2x = 10x 5 + -8x = -6 + -1[-16 + 10x] 5 + -8x = -6 + [-16 * -1 + 10x * -1] 5 + -8x = -6 + [16 + -10x] Combine like terms: -6 + 16 = 10 5 + -8x = 10 + -10x Solving 5 + -8x = 10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 5 + -8x + 10x = 10 + -10x + 10x Combine like terms: -8x + 10x = 2x 5 + 2x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 5 + 2x = 10 + 0 5 + 2x = 10 Add '-5' to each side of the equation. 5 + -5 + 2x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 10 + -5 2x = 10 + -5 Combine like terms: 10 + -5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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