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Simplifying 2x + 3(6 + 2x) = 82 2x + (6 * 3 + 2x * 3) = 82 2x + (18 + 6x) = 82 Reorder the terms: 18 + 2x + 6x = 82 Combine like terms: 2x + 6x = 8x 18 + 8x = 82 Solving 18 + 8x = 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 + 8x = 82 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 82 + -18 8x = 82 + -18 Combine like terms: 82 + -18 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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