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Simplifying 82 + -7x = 11x + 20 Reorder the terms: 82 + -7x = 20 + 11x Solving 82 + -7x = 20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 82 + -7x + -11x = 20 + 11x + -11x Combine like terms: -7x + -11x = -18x 82 + -18x = 20 + 11x + -11x Combine like terms: 11x + -11x = 0 82 + -18x = 20 + 0 82 + -18x = 20 Add '-82' to each side of the equation. 82 + -82 + -18x = 20 + -82 Combine like terms: 82 + -82 = 0 0 + -18x = 20 + -82 -18x = 20 + -82 Combine like terms: 20 + -82 = -62 -18x = -62 Divide each side by '-18'. x = 3.444444444 Simplifying x = 3.444444444
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