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Simplifying 2((x + 41) + x) = 282 Reorder the terms: 2((41 + x) + x) = 282 Remove parenthesis around (41 + x) 2(41 + x + x) = 282 Combine like terms: x + x = 2x 2(41 + 2x) = 282 (41 * 2 + 2x * 2) = 282 (82 + 4x) = 282 Solving 82 + 4x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 4x = 282 + -82 Combine like terms: 82 + -82 = 0 0 + 4x = 282 + -82 4x = 282 + -82 Combine like terms: 282 + -82 = 200 4x = 200 Divide each side by '4'. x = 50 Simplifying x = 50
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