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\frac{505}{9}\times 16=x
Multiply both sides by 16.
\frac{505\times 16}{9}=x
Express \frac{505}{9}\times 16 as a single fraction.
\frac{8080}{9}=x
Multiply 505 and 16 to get 8080.
x=\frac{8080}{9}
Swap sides so that all variable terms are on the left hand side.