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Simplifying -1[7x + -1(3x + 9)] = -4 + -1[4(2x + -4) + -2x] Reorder the terms: -1[7x + -1(9 + 3x)] = -4 + -1[4(2x + -4) + -2x] -1[7x + (9 * -1 + 3x * -1)] = -4 + -1[4(2x + -4) + -2x] -1[7x + (-9 + -3x)] = -4 + -1[4(2x + -4) + -2x] Reorder the terms: -1[-9 + 7x + -3x] = -4 + -1[4(2x + -4) + -2x] Combine like terms: 7x + -3x = 4x -1[-9 + 4x] = -4 + -1[4(2x + -4) + -2x] [-9 * -1 + 4x * -1] = -4 + -1[4(2x + -4) + -2x] [9 + -4x] = -4 + -1[4(2x + -4) + -2x] Reorder the terms: 9 + -4x = -4 + -1[4(-4 + 2x) + -2x] 9 + -4x = -4 + -1[(-4 * 4 + 2x * 4) + -2x] 9 + -4x = -4 + -1[(-16 + 8x) + -2x] Combine like terms: 8x + -2x = 6x 9 + -4x = -4 + -1[-16 + 6x] 9 + -4x = -4 + [-16 * -1 + 6x * -1] 9 + -4x = -4 + [16 + -6x] Combine like terms: -4 + 16 = 12 9 + -4x = 12 + -6x Solving 9 + -4x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x 9 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 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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