Question

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Answer 1

$\frac{ \frac{2}{9} }{ \frac{5}{9} x - \frac{1}{2} } + \frac{1}{7} = \frac{1}{3} \\ \frac{ \frac{2}{9} }{ \frac{5}{9} x - \frac{1}{2} } = \frac{1}{3} - \frac{1}{7} \\ \frac{ \frac{2}{9} }{ \frac{5}{9} x - \frac{1}{2} } = \frac{7 - 3}{21} \\ \frac{ \frac{2}{9} }{ \frac{5}{9} x - \frac{1}{2} } = \frac{4}{21} \\ \frac{5}{9} x - \frac{1}{2} = \frac{2}{9} \div \frac{4}{21} \\ \frac{5}{9} x - \frac{1}{2} = \frac{2}{9} \times \frac{21}{4} \\ \frac{5}{9} x - \frac{1}{2} = \frac{7}{6} \\ \frac{5}{9} x = \frac{1}{2} + \frac{7}{6} \\ \frac{5}{9} x = \frac{3 + 7}{6} \\ \frac{5}{9} x = \frac{10}{6} \\ x = \frac{10}{6} \div \frac{5}{9} \\ x = \frac{10}{6} \times \frac{9}{5} \\ x = 3$