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0.2x-0.5-0.1x=7
Subtract 0.1x from both sides.
0.1x-0.5=7
Combine 0.2x and -0.1x to get 0.1x.
0.1x=7+0.5
Add 0.5 to both sides.
0.1x=7.5
Add 7 and 0.5 to get 7.5.
x=\frac{7.5}{0.1}
Divide both sides by 0.1.
x=75
Expand \frac{7.5}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.