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3\left(-x\right)=2\left(-1\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3\left(-x\right)=-2
Multiply 2 and -1 to get -2.
-x=-\frac{2}{3}
Divide both sides by 3.
x=\frac{2}{3}
Multiply both sides by -1.