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Simplifying 3x + 2[4 + -5(2x + -1)] = 0 Reorder the terms: 3x + 2[4 + -5(-1 + 2x)] = 0 3x + 2[4 + (-1 * -5 + 2x * -5)] = 0 3x + 2[4 + (5 + -10x)] = 0 Combine like terms: 4 + 5 = 9 3x + 2[9 + -10x] = 0 3x + [9 * 2 + -10x * 2] = 0 3x + [18 + -20x] = 0 Reorder the terms: 18 + 3x + -20x = 0 Combine like terms: 3x + -20x = -17x 18 + -17x = 0 Solving 18 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -17x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -17x = 0 + -18 -17x = 0 + -18 Combine like terms: 0 + -18 = -18 -17x = -18 Divide each side by '-17'. x = 1.058823529 Simplifying x = 1.058823529
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