\[1\frac{31}{32} \cdot 3\frac{1}{5} + \left( 8\frac{5}{9} \cdot \frac{6}{35} + 3\frac{8}{15} \right) \cdot \frac{7}{50} =\]
\[= \frac{63 \cdot 16}{32 \cdot 5} + \left( \frac{77 \cdot 6}{8 \cdot 35} + \frac{53}{15} \right) \cdot \frac{7}{50} =\]
\[= \frac{63}{10} + \left( \frac{22}{15} + \frac{53}{15} \right) \cdot \frac{7}{50} =\]
\[= \frac{63}{10} + \frac{75 \cdot 7}{15 \cdot 50} = \frac{63}{10} + \frac{7}{10} =\]
\[= \frac{70}{10} = 7\]