\[2\frac{1}{7} \cdot 1\frac{1}{20}x + 1\frac{5}{6} =\]
\[= \frac{15}{7} \cdot \frac{21}{20}x + 1\frac{5}{6} = \frac{9}{4}x + 1\frac{5}{6};\]
\[x = \frac{4}{27}:\]
\[\frac{9}{4} \cdot \frac{4}{27} + 1\frac{5}{6} = \frac{1^{\backslash 2}}{3} + 1\frac{5}{6} =\]
\[= \frac{2}{6} + 1\frac{5}{6} = 1\frac{7}{6} = 2\frac{1}{6}.\]