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Simplifying -1[9x + -1(2x + 3)] = -6 + -1[4(3x + -4) + -3x] Reorder the terms: -1[9x + -1(3 + 2x)] = -6 + -1[4(3x + -4) + -3x] -1[9x + (3 * -1 + 2x * -1)] = -6 + -1[4(3x + -4) + -3x] -1[9x + (-3 + -2x)] = -6 + -1[4(3x + -4) + -3x] Reorder the terms: -1[-3 + 9x + -2x] = -6 + -1[4(3x + -4) + -3x] Combine like terms: 9x + -2x = 7x -1[-3 + 7x] = -6 + -1[4(3x + -4) + -3x] [-3 * -1 + 7x * -1] = -6 + -1[4(3x + -4) + -3x] [3 + -7x] = -6 + -1[4(3x + -4) + -3x] Reorder the terms: 3 + -7x = -6 + -1[4(-4 + 3x) + -3x] 3 + -7x = -6 + -1[(-4 * 4 + 3x * 4) + -3x] 3 + -7x = -6 + -1[(-16 + 12x) + -3x] Combine like terms: 12x + -3x = 9x 3 + -7x = -6 + -1[-16 + 9x] 3 + -7x = -6 + [-16 * -1 + 9x * -1] 3 + -7x = -6 + [16 + -9x] Combine like terms: -6 + 16 = 10 3 + -7x = 10 + -9x Solving 3 + -7x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 3 + -7x + 9x = 10 + -9x + 9x Combine like terms: -7x + 9x = 2x 3 + 2x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 3 + 2x = 10 + 0 3 + 2x = 10 Add '-3' to each side of the equation. 3 + -3 + 2x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 10 + -3 2x = 10 + -3 Combine like terms: 10 + -3 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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