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Simplifying 2(x + 9) + 2x = 82 Reorder the terms: 2(9 + x) + 2x = 82 (9 * 2 + x * 2) + 2x = 82 (18 + 2x) + 2x = 82 Combine like terms: 2x + 2x = 4x 18 + 4x = 82 Solving 18 + 4x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4x = 82 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 82 + -18 4x = 82 + -18 Combine like terms: 82 + -18 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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