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10x+1=0
Swap sides so that all variable terms are on the left hand side.
10x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{10}
Divide both sides by 10.
x=-\frac{1}{10}
Fraction \frac{-1}{10} can be rewritten as -\frac{1}{10} by extracting the negative sign.