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Simplifying 12 + 2(6 + x) = 3(x + 4) 12 + (6 * 2 + x * 2) = 3(x + 4) 12 + (12 + 2x) = 3(x + 4) Combine like terms: 12 + 12 = 24 24 + 2x = 3(x + 4) Reorder the terms: 24 + 2x = 3(4 + x) 24 + 2x = (4 * 3 + x * 3) 24 + 2x = (12 + 3x) Solving 24 + 2x = 12 + 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 = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x 24 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -1x = 12 + 0 24 + -1x = 12 Add '-24' to each side of the equation. 24 + -24 + -1x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 12 + -24 -1x = 12 + -24 Combine like terms: 12 + -24 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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