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Simplifying 3x + -1[6x + -2 + -1(9x + -5)] = 0 Reorder the terms: 3x + -1[6x + -2 + -1(-5 + 9x)] = 0 3x + -1[6x + -2 + (-5 * -1 + 9x * -1)] = 0 3x + -1[6x + -2 + (5 + -9x)] = 0 Reorder the terms: 3x + -1[-2 + 5 + 6x + -9x] = 0 Combine like terms: -2 + 5 = 3 3x + -1[3 + 6x + -9x] = 0 Combine like terms: 6x + -9x = -3x 3x + -1[3 + -3x] = 0 3x + [3 * -1 + -3x * -1] = 0 3x + [-3 + 3x] = 0 Reorder the terms: -3 + 3x + 3x = 0 Combine like terms: 3x + 3x = 6x -3 + 6x = 0 Solving -3 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 0 + 3 6x = 0 + 3 Combine like terms: 0 + 3 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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