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Simplifying 3(x + 8) = x + 12 Reorder the terms: 3(8 + x) = x + 12 (8 * 3 + x * 3) = x + 12 (24 + 3x) = x + 12 Reorder the terms: 24 + 3x = 12 + x Solving 24 + 3x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + 3x + -1x = 12 + x + -1x Combine like terms: 3x + -1x = 2x 24 + 2x = 12 + x + -1x Combine like terms: x + -1x = 0 24 + 2x = 12 + 0 24 + 2x = 12 Add '-24' to each side of the equation. 24 + -24 + 2x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 12 + -24 2x = 12 + -24 Combine like terms: 12 + -24 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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