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Simplifying 3(x + 12) = 2x + 51 Reorder the terms: 3(12 + x) = 2x + 51 (12 * 3 + x * 3) = 2x + 51 (36 + 3x) = 2x + 51 Reorder the terms: 36 + 3x = 51 + 2x Solving 36 + 3x = 51 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + 3x + -2x = 51 + 2x + -2x Combine like terms: 3x + -2x = 1x 36 + 1x = 51 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 1x = 51 + 0 36 + 1x = 51 Add '-36' to each side of the equation. 36 + -36 + 1x = 51 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 51 + -36 1x = 51 + -36 Combine like terms: 51 + -36 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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