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\frac{4}{\sqrt{3^{2}}}=\left(x+12\right)^{1}
Calculate 2 to the power of 2 and get 4.
\frac{4}{\sqrt{9}}=\left(x+12\right)^{1}
Calculate 3 to the power of 2 and get 9.
\frac{4}{3}=\left(x+12\right)^{1}
Calculate the square root of 9 and get 3.
\frac{4}{3}=x+12
Calculate x+12 to the power of 1 and get x+12.
x+12=\frac{4}{3}
Swap sides so that all variable terms are on the left hand side.
x=\frac{4}{3}-12
Subtract 12 from both sides.
x=-\frac{32}{3}
Subtract 12 from \frac{4}{3} to get -\frac{32}{3}.