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1\left(-4\right)x=1+\frac{1}{3}x
Divide 2 by 2 to get 1.
-4x=1+\frac{1}{3}x
Multiply 1 and -4 to get -4.
-4x-\frac{1}{3}x=1
Subtract \frac{1}{3}x from both sides.
-\frac{13}{3}x=1
Combine -4x and -\frac{1}{3}x to get -\frac{13}{3}x.
x=1\left(-\frac{3}{13}\right)
Multiply both sides by -\frac{3}{13}, the reciprocal of -\frac{13}{3}.
x=-\frac{3}{13}
Multiply 1 and -\frac{3}{13} to get -\frac{3}{13}.