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Simplifying -1[3x + -1(2x + 8)] = -4 + -1[3(2x + -5) + -3x] Reorder the terms: -1[3x + -1(8 + 2x)] = -4 + -1[3(2x + -5) + -3x] -1[3x + (8 * -1 + 2x * -1)] = -4 + -1[3(2x + -5) + -3x] -1[3x + (-8 + -2x)] = -4 + -1[3(2x + -5) + -3x] Reorder the terms: -1[-8 + 3x + -2x] = -4 + -1[3(2x + -5) + -3x] Combine like terms: 3x + -2x = 1x -1[-8 + 1x] = -4 + -1[3(2x + -5) + -3x] [-8 * -1 + 1x * -1] = -4 + -1[3(2x + -5) + -3x] [8 + -1x] = -4 + -1[3(2x + -5) + -3x] Reorder the terms: 8 + -1x = -4 + -1[3(-5 + 2x) + -3x] 8 + -1x = -4 + -1[(-5 * 3 + 2x * 3) + -3x] 8 + -1x = -4 + -1[(-15 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 8 + -1x = -4 + -1[-15 + 3x] 8 + -1x = -4 + [-15 * -1 + 3x * -1] 8 + -1x = -4 + [15 + -3x] Combine like terms: -4 + 15 = 11 8 + -1x = 11 + -3x Solving 8 + -1x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -1x + 3x = 11 + -3x + 3x Combine like terms: -1x + 3x = 2x 8 + 2x = 11 + -3x + 3x Combine like terms: -3x + 3x = 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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