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