Verified Answer :

\(x+ \frac{x}{7} +(x+ \frac{x}{7} )=60\)

Remove parentheses (a)= a

\(x+ \frac{x}{7} +x+ \frac{x}{7}\)

Group like terms:

\(x+ \frac{x}{7} +x+x\)

Add similar elements:

\(\frac{x}{7} + \frac{x}{7} =2 \frac{x}{7}\)

\(= 2 \frac{x}{7} +x+x\)

Add similar elements:

\(x+x = 2x\)

\(2 \frac{x}{7} +2x\)

Multiply \(2 \frac{x}{7}\)

\(= \frac{2x}{7} +2x\)

\(\frac{2x}{7} +2x = 60\)

Multiply both sides by 7 :

\(\frac{2x}{7} *7+2x*7 = 60*7\)

\(16x = 420\)

\(x = 420 / 16\)

\(x = \frac{105}{4}\)

hope this helps!