Solve each of the following equation and also verify your solution:

$\frac{7}{\mathrm{x}}+35=\frac{1}{10}$

or $\frac{7}{\mathrm{x}}=\frac{1}{10}-35$

or $\frac{7}{\mathrm{x}}=\frac{1-350}{10}$

or $\frac{\mathrm{x}}{7}=\frac{10}{{ }_{-349}}$

or $\mathrm{x}=\frac{-10 \times 7}{349}=\frac{-70}{349}$

Verification :

L. H. S. $=\frac{7}{\frac{-70}{349}}+35$

$=7 \times \frac{349}{-70}+35$

$=\frac{349}{-10}+35=\frac{1}{10}=$ R.H.S.