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Simplifying -10x + -3[-2 + 3(4x + -3) + 2] = 0 Reorder the terms: -10x + -3[-2 + 3(-3 + 4x) + 2] = 0 -10x + -3[-2 + (-3 * 3 + 4x * 3) + 2] = 0 -10x + -3[-2 + (-9 + 12x) + 2] = 0 Reorder the terms: -10x + -3[-2 + -9 + 2 + 12x] = 0 Combine like terms: -2 + -9 = -11 -10x + -3[-11 + 2 + 12x] = 0 Combine like terms: -11 + 2 = -9 -10x + -3[-9 + 12x] = 0 -10x + [-9 * -3 + 12x * -3] = 0 -10x + [27 + -36x] = 0 Reorder the terms: 27 + -10x + -36x = 0 Combine like terms: -10x + -36x = -46x 27 + -46x = 0 Solving 27 + -46x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -46x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -46x = 0 + -27 -46x = 0 + -27 Combine like terms: 0 + -27 = -27 -46x = -27 Divide each side by '-46'. x = 0.5869565217 Simplifying x = 0.5869565217
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