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Simplifying 2(3x + 1) + 3(2x + 1) = 137 Reorder the terms: 2(1 + 3x) + 3(2x + 1) = 137 (1 * 2 + 3x * 2) + 3(2x + 1) = 137 (2 + 6x) + 3(2x + 1) = 137 Reorder the terms: 2 + 6x + 3(1 + 2x) = 137 2 + 6x + (1 * 3 + 2x * 3) = 137 2 + 6x + (3 + 6x) = 137 Reorder the terms: 2 + 3 + 6x + 6x = 137 Combine like terms: 2 + 3 = 5 5 + 6x + 6x = 137 Combine like terms: 6x + 6x = 12x 5 + 12x = 137 Solving 5 + 12x = 137 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 = 137 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 137 + -5 12x = 137 + -5 Combine like terms: 137 + -5 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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