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Simplifying -9[9x + -1(2x + 4)] = -3 + -1[4(3x + -3) + -3x] Reorder the terms: -9[9x + -1(4 + 2x)] = -3 + -1[4(3x + -3) + -3x] -9[9x + (4 * -1 + 2x * -1)] = -3 + -1[4(3x + -3) + -3x] -9[9x + (-4 + -2x)] = -3 + -1[4(3x + -3) + -3x] Reorder the terms: -9[-4 + 9x + -2x] = -3 + -1[4(3x + -3) + -3x] Combine like terms: 9x + -2x = 7x -9[-4 + 7x] = -3 + -1[4(3x + -3) + -3x] [-4 * -9 + 7x * -9] = -3 + -1[4(3x + -3) + -3x] [36 + -63x] = -3 + -1[4(3x + -3) + -3x] Reorder the terms: 36 + -63x = -3 + -1[4(-3 + 3x) + -3x] 36 + -63x = -3 + -1[(-3 * 4 + 3x * 4) + -3x] 36 + -63x = -3 + -1[(-12 + 12x) + -3x] Combine like terms: 12x + -3x = 9x 36 + -63x = -3 + -1[-12 + 9x] 36 + -63x = -3 + [-12 * -1 + 9x * -1] 36 + -63x = -3 + [12 + -9x] Combine like terms: -3 + 12 = 9 36 + -63x = 9 + -9x Solving 36 + -63x = 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. 36 + -63x + 9x = 9 + -9x + 9x Combine like terms: -63x + 9x = -54x 36 + -54x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 36 + -54x = 9 + 0 36 + -54x = 9 Add '-36' to each side of the equation. 36 + -36 + -54x = 9 + -36 Combine like terms: 36 + -36 = 0 0 + -54x = 9 + -36 -54x = 9 + -36 Combine like terms: 9 + -36 = -27 -54x = -27 Divide each side by '-54'. x = 0.5 Simplifying x = 0.5
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