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24+x=0\times 4\left(x+12\right)
Variable x cannot be equal to -12 since division by zero is not defined. Multiply both sides of the equation by x+12.
24+x=0\left(x+12\right)
Multiply 0 and 4 to get 0.
24+x=0
Anything times zero gives zero.
x=-24
Subtract 24 from both sides. Anything subtracted from zero gives its negation.