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0.1x+1=98
Swap sides so that all variable terms are on the left hand side.
0.1x=98-1
Subtract 1 from both sides.
0.1x=97
Subtract 1 from 98 to get 97.
x=\frac{97}{0.1}
Divide both sides by 0.1.
x=970
Expand \frac{97}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.