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0=\frac{7\left(-6\right)}{6}+x
Express \frac{7}{6}\left(-6\right) as a single fraction.
0=\frac{-42}{6}+x
Multiply 7 and -6 to get -42.
0=-7+x
Divide -42 by 6 to get -7.
-7+x=0
Swap sides so that all variable terms are on the left hand side.
x=7
Add 7 to both sides. Anything plus zero gives itself.