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4ix=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-7}{4i}
Divide both sides by 4i.
x=\frac{-7i}{4i^{2}}
Multiply both numerator and denominator of \frac{-7}{4i} by imaginary unit i.
x=\frac{-7i}{-4}
By definition, i^{2} is -1. Calculate the denominator.
x=\frac{7}{4}i
Divide -7i by -4 to get \frac{7}{4}i.