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Simplifying 2(x + 12) = 2x + 3(x + -2) Reorder the terms: 2(12 + x) = 2x + 3(x + -2) (12 * 2 + x * 2) = 2x + 3(x + -2) (24 + 2x) = 2x + 3(x + -2) Reorder the terms: 24 + 2x = 2x + 3(-2 + x) 24 + 2x = 2x + (-2 * 3 + x * 3) 24 + 2x = 2x + (-6 + 3x) Reorder the terms: 24 + 2x = -6 + 2x + 3x Combine like terms: 2x + 3x = 5x 24 + 2x = -6 + 5x Solving 24 + 2x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 2x + -5x = -6 + 5x + -5x Combine like terms: 2x + -5x = -3x 24 + -3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -3x = -6 + 0 24 + -3x = -6 Add '-24' to each side of the equation. 24 + -24 + -3x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -6 + -24 -3x = -6 + -24 Combine like terms: -6 + -24 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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