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-\frac{2}{3}x=1
Add 1 to both sides. Anything plus zero gives itself.
x=1\left(-\frac{3}{2}\right)
Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.
x=-\frac{3}{2}
Multiply 1 and -\frac{3}{2} to get -\frac{3}{2}.