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-0.6x-0.1=0
Swap sides so that all variable terms are on the left hand side.
-0.6x=0.1
Add 0.1 to both sides. Anything plus zero gives itself.
x=\frac{0.1}{-0.6}
Divide both sides by -0.6.
x=\frac{1}{-6}
Expand \frac{0.1}{-0.6} by multiplying both numerator and the denominator by 10.
x=-\frac{1}{6}
Fraction \frac{1}{-6} can be rewritten as -\frac{1}{6} by extracting the negative sign.