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Simplifying 3(2x + 1) + 2x = 5x + 12 Reorder the terms: 3(1 + 2x) + 2x = 5x + 12 (1 * 3 + 2x * 3) + 2x = 5x + 12 (3 + 6x) + 2x = 5x + 12 Combine like terms: 6x + 2x = 8x 3 + 8x = 5x + 12 Reorder the terms: 3 + 8x = 12 + 5x Solving 3 + 8x = 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. 3 + 8x + -5x = 12 + 5x + -5x Combine like terms: 8x + -5x = 3x 3 + 3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 3x = 12 + 0 3 + 3x = 12 Add '-3' to each side of the equation. 3 + -3 + 3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 12 + -3 3x = 12 + -3 Combine like terms: 12 + -3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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