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\frac{1}{77}=\frac{30x}{273+27}
Add -196 and 273 to get 77.
\frac{1}{77}=\frac{30x}{300}
Add 273 and 27 to get 300.
\frac{1}{77}=\frac{1}{10}x
Divide 30x by 300 to get \frac{1}{10}x.
\frac{1}{10}x=\frac{1}{77}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{77}\times 10
Multiply both sides by 10, the reciprocal of \frac{1}{10}.
x=\frac{10}{77}
Multiply \frac{1}{77} and 10 to get \frac{10}{77}.