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Simplifying -1[6x + -1(3x + 4)] = -3 + -1[4(2x + -3) + -3x] Reorder the terms: -1[6x + -1(4 + 3x)] = -3 + -1[4(2x + -3) + -3x] -1[6x + (4 * -1 + 3x * -1)] = -3 + -1[4(2x + -3) + -3x] -1[6x + (-4 + -3x)] = -3 + -1[4(2x + -3) + -3x] Reorder the terms: -1[-4 + 6x + -3x] = -3 + -1[4(2x + -3) + -3x] Combine like terms: 6x + -3x = 3x -1[-4 + 3x] = -3 + -1[4(2x + -3) + -3x] [-4 * -1 + 3x * -1] = -3 + -1[4(2x + -3) + -3x] [4 + -3x] = -3 + -1[4(2x + -3) + -3x] Reorder the terms: 4 + -3x = -3 + -1[4(-3 + 2x) + -3x] 4 + -3x = -3 + -1[(-3 * 4 + 2x * 4) + -3x] 4 + -3x = -3 + -1[(-12 + 8x) + -3x] Combine like terms: 8x + -3x = 5x 4 + -3x = -3 + -1[-12 + 5x] 4 + -3x = -3 + [-12 * -1 + 5x * -1] 4 + -3x = -3 + [12 + -5x] Combine like terms: -3 + 12 = 9 4 + -3x = 9 + -5x Solving 4 + -3x = 9 + -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. 4 + -3x + 5x = 9 + -5x + 5x Combine like terms: -3x + 5x = 2x 4 + 2x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 2x = 9 + 0 4 + 2x = 9 Add '-4' to each side of the equation. 4 + -4 + 2x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 9 + -4 2x = 9 + -4 Combine like terms: 9 + -4 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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