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2\left(-x\right)+4=-1
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2\left(-x\right)=-1-4
Subtract 4 from both sides.
2\left(-x\right)=-5
Subtract 4 from -1 to get -5.
-x=-\frac{5}{2}
Divide both sides by 2.
x=\frac{5}{2}
Multiply both sides by -1.