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Simplifying 3(2x + 1) + 2(3x + 1) = 17 Reorder the terms: 3(1 + 2x) + 2(3x + 1) = 17 (1 * 3 + 2x * 3) + 2(3x + 1) = 17 (3 + 6x) + 2(3x + 1) = 17 Reorder the terms: 3 + 6x + 2(1 + 3x) = 17 3 + 6x + (1 * 2 + 3x * 2) = 17 3 + 6x + (2 + 6x) = 17 Reorder the terms: 3 + 2 + 6x + 6x = 17 Combine like terms: 3 + 2 = 5 5 + 6x + 6x = 17 Combine like terms: 6x + 6x = 12x 5 + 12x = 17 Solving 5 + 12x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 17 + -5 12x = 17 + -5 Combine like terms: 17 + -5 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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