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Simplifying -1[9x + -1(2x + 4)] = -3 + -1[4(3x + -3) + -3x] Reorder the terms: -1[9x + -1(4 + 2x)] = -3 + -1[4(3x + -3) + -3x] -1[9x + (4 * -1 + 2x * -1)] = -3 + -1[4(3x + -3) + -3x] -1[9x + (-4 + -2x)] = -3 + -1[4(3x + -3) + -3x] Reorder the terms: -1[-4 + 9x + -2x] = -3 + -1[4(3x + -3) + -3x] Combine like terms: 9x + -2x = 7x -1[-4 + 7x] = -3 + -1[4(3x + -3) + -3x] [-4 * -1 + 7x * -1] = -3 + -1[4(3x + -3) + -3x] [4 + -7x] = -3 + -1[4(3x + -3) + -3x] Reorder the terms: 4 + -7x = -3 + -1[4(-3 + 3x) + -3x] 4 + -7x = -3 + -1[(-3 * 4 + 3x * 4) + -3x] 4 + -7x = -3 + -1[(-12 + 12x) + -3x] Combine like terms: 12x + -3x = 9x 4 + -7x = -3 + -1[-12 + 9x] 4 + -7x = -3 + [-12 * -1 + 9x * -1] 4 + -7x = -3 + [12 + -9x] Combine like terms: -3 + 12 = 9 4 + -7x = 9 + -9x Solving 4 + -7x = 9 + -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. 4 + -7x + 9x = 9 + -9x + 9x Combine like terms: -7x + 9x = 2x 4 + 2x = 9 + -9x + 9x Combine like terms: -9x + 9x = 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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