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Simplifying 2x + -3[2x + -1(3 + -4x)] = 0 2x + -3[2x + (3 * -1 + -4x * -1)] = 0 2x + -3[2x + (-3 + 4x)] = 0 Reorder the terms: 2x + -3[-3 + 2x + 4x] = 0 Combine like terms: 2x + 4x = 6x 2x + -3[-3 + 6x] = 0 2x + [-3 * -3 + 6x * -3] = 0 2x + [9 + -18x] = 0 Reorder the terms: 9 + 2x + -18x = 0 Combine like terms: 2x + -18x = -16x 9 + -16x = 0 Solving 9 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -16x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16x = 0 + -9 -16x = 0 + -9 Combine like terms: 0 + -9 = -9 -16x = -9 Divide each side by '-16'. x = 0.5625 Simplifying x = 0.5625
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