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Simplifying 12(x + 2) = 3(x + -1) Reorder the terms: 12(2 + x) = 3(x + -1) (2 * 12 + x * 12) = 3(x + -1) (24 + 12x) = 3(x + -1) Reorder the terms: 24 + 12x = 3(-1 + x) 24 + 12x = (-1 * 3 + x * 3) 24 + 12x = (-3 + 3x) Solving 24 + 12x = -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. 24 + 12x + -3x = -3 + 3x + -3x Combine like terms: 12x + -3x = 9x 24 + 9x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 9x = -3 + 0 24 + 9x = -3 Add '-24' to each side of the equation. 24 + -24 + 9x = -3 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = -3 + -24 9x = -3 + -24 Combine like terms: -3 + -24 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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