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Simplifying 3 + -1(1 + -2x) = 12 + 5x 3 + (1 * -1 + -2x * -1) = 12 + 5x 3 + (-1 + 2x) = 12 + 5x Combine like terms: 3 + -1 = 2 2 + 2x = 12 + 5x Solving 2 + 2x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 2x + -5x = 12 + 5x + -5x Combine like terms: 2x + -5x = -3x 2 + -3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -3x = 12 + 0 2 + -3x = 12 Add '-2' to each side of the equation. 2 + -2 + -3x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 12 + -2 -3x = 12 + -2 Combine like terms: 12 + -2 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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