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0.06x-0.6=0
Swap sides so that all variable terms are on the left hand side.
0.06x=0.6
Add 0.6 to both sides. Anything plus zero gives itself.
x=\frac{0.6}{0.06}
Divide both sides by 0.06.
x=\frac{60}{6}
Expand \frac{0.6}{0.06} by multiplying both numerator and the denominator by 100.
x=10
Divide 60 by 6 to get 10.