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-0.8x-0.1=0
Combine 0.2x and -x to get -0.8x.
-0.8x=0.1
Add 0.1 to both sides. Anything plus zero gives itself.
x=\frac{0.1}{-0.8}
Divide both sides by -0.8.
x=\frac{1}{-8}
Expand \frac{0.1}{-0.8} by multiplying both numerator and the denominator by 10.
x=-\frac{1}{8}
Fraction \frac{1}{-8} can be rewritten as -\frac{1}{8} by extracting the negative sign.