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x+10=0\times 2\left(x+100\right)
Variable x cannot be equal to -100 since division by zero is not defined. Multiply both sides of the equation by x+100.
x+10=0\left(x+100\right)
Multiply 0 and 2 to get 0.
x+10=0
Anything times zero gives zero.
x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.