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65+x=0\times 9\left(x+75\right)
Variable x cannot be equal to -75 since division by zero is not defined. Multiply both sides of the equation by x+75.
65+x=0\left(x+75\right)
Multiply 0 and 9 to get 0.
65+x=0
Anything times zero gives zero.
x=-65
Subtract 65 from both sides. Anything subtracted from zero gives its negation.