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Simplifying -1[11x + -1(3x + 4)] = -5 + -1[4(3x + -4) + -2x] Reorder the terms: -1[11x + -1(4 + 3x)] = -5 + -1[4(3x + -4) + -2x] -1[11x + (4 * -1 + 3x * -1)] = -5 + -1[4(3x + -4) + -2x] -1[11x + (-4 + -3x)] = -5 + -1[4(3x + -4) + -2x] Reorder the terms: -1[-4 + 11x + -3x] = -5 + -1[4(3x + -4) + -2x] Combine like terms: 11x + -3x = 8x -1[-4 + 8x] = -5 + -1[4(3x + -4) + -2x] [-4 * -1 + 8x * -1] = -5 + -1[4(3x + -4) + -2x] [4 + -8x] = -5 + -1[4(3x + -4) + -2x] Reorder the terms: 4 + -8x = -5 + -1[4(-4 + 3x) + -2x] 4 + -8x = -5 + -1[(-4 * 4 + 3x * 4) + -2x] 4 + -8x = -5 + -1[(-16 + 12x) + -2x] Combine like terms: 12x + -2x = 10x 4 + -8x = -5 + -1[-16 + 10x] 4 + -8x = -5 + [-16 * -1 + 10x * -1] 4 + -8x = -5 + [16 + -10x] Combine like terms: -5 + 16 = 11 4 + -8x = 11 + -10x Solving 4 + -8x = 11 + -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. 4 + -8x + 10x = 11 + -10x + 10x Combine like terms: -8x + 10x = 2x 4 + 2x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + 2x = 11 + 0 4 + 2x = 11 Add '-4' to each side of the equation. 4 + -4 + 2x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 11 + -4 2x = 11 + -4 Combine like terms: 11 + -4 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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