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Simplifying (3x + 1) * 2 = 32 Reorder the terms: (1 + 3x) * 2 = 32 Reorder the terms for easier multiplication: 2(1 + 3x) = 32 (1 * 2 + 3x * 2) = 32 (2 + 6x) = 32 Solving 2 + 6x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 32 + -2 6x = 32 + -2 Combine like terms: 32 + -2 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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