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Simplifying 3(2x + 3) = 5x + 12 Reorder the terms: 3(3 + 2x) = 5x + 12 (3 * 3 + 2x * 3) = 5x + 12 (9 + 6x) = 5x + 12 Reorder the terms: 9 + 6x = 12 + 5x Solving 9 + 6x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 6x + -5x = 12 + 5x + -5x Combine like terms: 6x + -5x = 1x 9 + 1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 1x = 12 + 0 9 + 1x = 12 Add '-9' to each side of the equation. 9 + -9 + 1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 12 + -9 1x = 12 + -9 Combine like terms: 12 + -9 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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