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Simplifying 3 + -2(-1x + -6) = 12 + -1(1 + -1x) Reorder the terms: 3 + -2(-6 + -1x) = 12 + -1(1 + -1x) 3 + (-6 * -2 + -1x * -2) = 12 + -1(1 + -1x) 3 + (12 + 2x) = 12 + -1(1 + -1x) Combine like terms: 3 + 12 = 15 15 + 2x = 12 + -1(1 + -1x) 15 + 2x = 12 + (1 * -1 + -1x * -1) 15 + 2x = 12 + (-1 + 1x) Combine like terms: 12 + -1 = 11 15 + 2x = 11 + 1x Solving 15 + 2x = 11 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 2x + -1x = 11 + 1x + -1x Combine like terms: 2x + -1x = 1x 15 + 1x = 11 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + 1x = 11 + 0 15 + 1x = 11 Add '-15' to each side of the equation. 15 + -15 + 1x = 11 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 11 + -15 1x = 11 + -15 Combine like terms: 11 + -15 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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