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Simplifying 12(x + 2) = 6(x + -1) Reorder the terms: 12(2 + x) = 6(x + -1) (2 * 12 + x * 12) = 6(x + -1) (24 + 12x) = 6(x + -1) Reorder the terms: 24 + 12x = 6(-1 + x) 24 + 12x = (-1 * 6 + x * 6) 24 + 12x = (-6 + 6x) Solving 24 + 12x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 24 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 6x = -6 + 0 24 + 6x = -6 Add '-24' to each side of the equation. 24 + -24 + 6x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = -6 + -24 6x = -6 + -24 Combine like terms: -6 + -24 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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