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Simplifying 3(x + 12) = x + 6 Reorder the terms: 3(12 + x) = x + 6 (12 * 3 + x * 3) = x + 6 (36 + 3x) = x + 6 Reorder the terms: 36 + 3x = 6 + x Solving 36 + 3x = 6 + 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. 36 + 3x + -1x = 6 + x + -1x Combine like terms: 3x + -1x = 2x 36 + 2x = 6 + x + -1x Combine like terms: x + -1x = 0 36 + 2x = 6 + 0 36 + 2x = 6 Add '-36' to each side of the equation. 36 + -36 + 2x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 6 + -36 2x = 6 + -36 Combine like terms: 6 + -36 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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