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Simplifying 6x + 2(3x + 11) = 82 Reorder the terms: 6x + 2(11 + 3x) = 82 6x + (11 * 2 + 3x * 2) = 82 6x + (22 + 6x) = 82 Reorder the terms: 22 + 6x + 6x = 82 Combine like terms: 6x + 6x = 12x 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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