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Simplifying -1[3x + -1(2x + 6)] = -6 + -1[3(2x + -5) + -3x] Reorder the terms: -1[3x + -1(6 + 2x)] = -6 + -1[3(2x + -5) + -3x] -1[3x + (6 * -1 + 2x * -1)] = -6 + -1[3(2x + -5) + -3x] -1[3x + (-6 + -2x)] = -6 + -1[3(2x + -5) + -3x] Reorder the terms: -1[-6 + 3x + -2x] = -6 + -1[3(2x + -5) + -3x] Combine like terms: 3x + -2x = 1x -1[-6 + 1x] = -6 + -1[3(2x + -5) + -3x] [-6 * -1 + 1x * -1] = -6 + -1[3(2x + -5) + -3x] [6 + -1x] = -6 + -1[3(2x + -5) + -3x] Reorder the terms: 6 + -1x = -6 + -1[3(-5 + 2x) + -3x] 6 + -1x = -6 + -1[(-5 * 3 + 2x * 3) + -3x] 6 + -1x = -6 + -1[(-15 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 6 + -1x = -6 + -1[-15 + 3x] 6 + -1x = -6 + [-15 * -1 + 3x * -1] 6 + -1x = -6 + [15 + -3x] Combine like terms: -6 + 15 = 9 6 + -1x = 9 + -3x Solving 6 + -1x = 9 + -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. 6 + -1x + 3x = 9 + -3x + 3x Combine like terms: -1x + 3x = 2x 6 + 2x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 2x = 9 + 0 6 + 2x = 9 Add '-6' to each side of the equation. 6 + -6 + 2x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 9 + -6 2x = 9 + -6 Combine like terms: 9 + -6 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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