\[3\frac{3}{14} - 1\frac{7}{8}x = 1\frac{2^{\backslash 2}}{7}\]
\[\frac{15}{8}x = 2\frac{17}{14} - 1\frac{4}{14}\]
\[\frac{15}{8}x = 1\frac{13}{14}\]
\[x = \frac{27 \cdot 8}{14 \cdot 15} = \frac{36}{35}\]
\[x = 1\frac{1}{35}.\]