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Simplifying 82 + -2x = 43x + 22 Reorder the terms: 82 + -2x = 22 + 43x Solving 82 + -2x = 22 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 82 + -2x + -43x = 22 + 43x + -43x Combine like terms: -2x + -43x = -45x 82 + -45x = 22 + 43x + -43x Combine like terms: 43x + -43x = 0 82 + -45x = 22 + 0 82 + -45x = 22 Add '-82' to each side of the equation. 82 + -82 + -45x = 22 + -82 Combine like terms: 82 + -82 = 0 0 + -45x = 22 + -82 -45x = 22 + -82 Combine like terms: 22 + -82 = -60 -45x = -60 Divide each side by '-45'. x = 1.333333333 Simplifying x = 1.333333333
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