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-10=x\left(2\times 10+1\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,10.
-10=x\left(20+1\right)
Multiply 2 and 10 to get 20.
-10=x\times 21
Add 20 and 1 to get 21.
x\times 21=-10
Swap sides so that all variable terms are on the left hand side.
x=\frac{-10}{21}
Divide both sides by 21.
x=-\frac{10}{21}
Fraction \frac{-10}{21} can be rewritten as -\frac{10}{21} by extracting the negative sign.