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-2x-1-\frac{1}{2}x=4
Subtract \frac{1}{2}x from both sides.
-\frac{5}{2}x-1=4
Combine -2x and -\frac{1}{2}x to get -\frac{5}{2}x.
-\frac{5}{2}x=4+1
Add 1 to both sides.
-\frac{5}{2}x=5
Add 4 and 1 to get 5.
x=5\left(-\frac{2}{5}\right)
Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.
x=-2
Cancel out 5 and 5.