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Simplifying 2(6x + 11) = 82 Reorder the terms: 2(11 + 6x) = 82 (11 * 2 + 6x * 2) = 82 (22 + 12x) = 82 Solving 22 + 12x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 12x = 82 + -22 Combine like terms: 22 + -22 = 0 0 + 12x = 82 + -22 12x = 82 + -22 Combine like terms: 82 + -22 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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