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x=\frac{1}{3i}
Divide both sides by 3i.
x=\frac{i}{3i^{2}}
Multiply both numerator and denominator of \frac{1}{3i} by imaginary unit i.
x=\frac{i}{-3}
By definition, i^{2} is -1. Calculate the denominator.
x=-\frac{1}{3}i
Divide i by -3 to get -\frac{1}{3}i.