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-\frac{4}{3}x+1=0
Swap sides so that all variable terms are on the left hand side.
-\frac{4}{3}x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=-\left(-\frac{3}{4}\right)
Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.
x=\frac{3}{4}
Multiply -1 and -\frac{3}{4} to get \frac{3}{4}.