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Simplifying 3(2x + 1) = 5(x + 2) Reorder the terms: 3(1 + 2x) = 5(x + 2) (1 * 3 + 2x * 3) = 5(x + 2) (3 + 6x) = 5(x + 2) Reorder the terms: 3 + 6x = 5(2 + x) 3 + 6x = (2 * 5 + x * 5) 3 + 6x = (10 + 5x) Solving 3 + 6x = 10 + 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. 3 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x 3 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 1x = 10 + 0 3 + 1x = 10 Add '-3' to each side of the equation. 3 + -3 + 1x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 10 + -3 1x = 10 + -3 Combine like terms: 10 + -3 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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