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Simplifying -2(9x + 2) + -4[3x + -1(8x + 6)] = 0 Reorder the terms: -2(2 + 9x) + -4[3x + -1(8x + 6)] = 0 (2 * -2 + 9x * -2) + -4[3x + -1(8x + 6)] = 0 (-4 + -18x) + -4[3x + -1(8x + 6)] = 0 Reorder the terms: -4 + -18x + -4[3x + -1(6 + 8x)] = 0 -4 + -18x + -4[3x + (6 * -1 + 8x * -1)] = 0 -4 + -18x + -4[3x + (-6 + -8x)] = 0 Reorder the terms: -4 + -18x + -4[-6 + 3x + -8x] = 0 Combine like terms: 3x + -8x = -5x -4 + -18x + -4[-6 + -5x] = 0 -4 + -18x + [-6 * -4 + -5x * -4] = 0 -4 + -18x + [24 + 20x] = 0 Reorder the terms: -4 + 24 + -18x + 20x = 0 Combine like terms: -4 + 24 = 20 20 + -18x + 20x = 0 Combine like terms: -18x + 20x = 2x 20 + 2x = 0 Solving 20 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 0 + -20 2x = 0 + -20 Combine like terms: 0 + -20 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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