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Simplifying 2(6 + -1x) = 3(1 + -1x) (6 * 2 + -1x * 2) = 3(1 + -1x) (12 + -2x) = 3(1 + -1x) 12 + -2x = (1 * 3 + -1x * 3) 12 + -2x = (3 + -3x) Solving 12 + -2x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -2x + 3x = 3 + -3x + 3x Combine like terms: -2x + 3x = 1x 12 + 1x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 1x = 3 + 0 12 + 1x = 3 Add '-12' to each side of the equation. 12 + -12 + 1x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 3 + -12 1x = 3 + -12 Combine like terms: 3 + -12 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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