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Simplifying 12(x + -2) = 2(x + 3) Reorder the terms: 12(-2 + x) = 2(x + 3) (-2 * 12 + x * 12) = 2(x + 3) (-24 + 12x) = 2(x + 3) Reorder the terms: -24 + 12x = 2(3 + x) -24 + 12x = (3 * 2 + x * 2) -24 + 12x = (6 + 2x) Solving -24 + 12x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 12x + -2x = 6 + 2x + -2x Combine like terms: 12x + -2x = 10x -24 + 10x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 10x = 6 + 0 -24 + 10x = 6 Add '24' to each side of the equation. -24 + 24 + 10x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 6 + 24 10x = 6 + 24 Combine like terms: 6 + 24 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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