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Simplifying 2(3x + 1) + -3(x + -1) = 0 Reorder the terms: 2(1 + 3x) + -3(x + -1) = 0 (1 * 2 + 3x * 2) + -3(x + -1) = 0 (2 + 6x) + -3(x + -1) = 0 Reorder the terms: 2 + 6x + -3(-1 + x) = 0 2 + 6x + (-1 * -3 + x * -3) = 0 2 + 6x + (3 + -3x) = 0 Reorder the terms: 2 + 3 + 6x + -3x = 0 Combine like terms: 2 + 3 = 5 5 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 5 + 3x = 0 Solving 5 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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