$$x-5= 5 \frac { 1 } { 7 }$$
$x = \frac{71}{7} = 10\frac{1}{7} \approx 10.142857143$
$$7x-35=5\times 7+1$$
$$7x-35=35+1$$
$$7x-35=36$$
$$7x=36+35$$
$$7x=71$$
$$x=\frac{71}{7}$$
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