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38.25=0.6\times 10x
Multiply 2 and 0.3 to get 0.6.
38.25=6x
Multiply 0.6 and 10 to get 6.
6x=38.25
Swap sides so that all variable terms are on the left hand side.
x=\frac{38.25}{6}
Divide both sides by 6.
x=\frac{3825}{600}
Expand \frac{38.25}{6} by multiplying both numerator and the denominator by 100.
x=\frac{51}{8}
Reduce the fraction \frac{3825}{600} to lowest terms by extracting and canceling out 75.