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47.75\times 2=x\times 0.1
Multiply both sides by 2.
95.5=x\times 0.1
Multiply 47.75 and 2 to get 95.5.
x\times 0.1=95.5
Swap sides so that all variable terms are on the left hand side.
x=\frac{95.5}{0.1}
Divide both sides by 0.1.
x=955
Expand \frac{95.5}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.