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Simplifying -4[2x + -3(x + 6)] = 0 Reorder the terms: -4[2x + -3(6 + x)] = 0 -4[2x + (6 * -3 + x * -3)] = 0 -4[2x + (-18 + -3x)] = 0 Reorder the terms: -4[-18 + 2x + -3x] = 0 Combine like terms: 2x + -3x = -1x -4[-18 + -1x] = 0 [-18 * -4 + -1x * -4] = 0 [72 + 4x] = 0 Solving 72 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 4x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 4x = 0 + -72 4x = 0 + -72 Combine like terms: 0 + -72 = -72 4x = -72 Divide each side by '4'. x = -18 Simplifying x = -18
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