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Simplifying 3(10x + 5) + 2x = 271 Reorder the terms: 3(5 + 10x) + 2x = 271 (5 * 3 + 10x * 3) + 2x = 271 (15 + 30x) + 2x = 271 Combine like terms: 30x + 2x = 32x 15 + 32x = 271 Solving 15 + 32x = 271 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 32x = 271 + -15 Combine like terms: 15 + -15 = 0 0 + 32x = 271 + -15 32x = 271 + -15 Combine like terms: 271 + -15 = 256 32x = 256 Divide each side by '32'. x = 8 Simplifying x = 8
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