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2 frac{1}{2} x - 7 = 2 + frac{2}{3} x \\ 2 frac{1}{2} x - frac{2}{3} x = 2 + 7 \\ 2 frac{3}{6} x - frac{4}{6} x = 9 \\ 1 frac{9}{6} x - frac{4}{6} x = 9 \\ 1 frac{5}{6} x = 9 \\ x = 9 : 1 frac{5}{6} \\ x = 9 : frac{11}{6} \\ x = 9cdot frac{6}{11} \\ x = frac{54}{11} = 4 frac{10}{11}

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