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