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1+\left(x-2\right)\left(-1\right)=-4
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of x-2,2-x.
1-x+2=-4
Use the distributive property to multiply x-2 by -1.
3-x=-4
Add 1 and 2 to get 3.
-x=-4-3
Subtract 3 from both sides.
-x=-7
Subtract 3 from -4 to get -7.
x=7
Multiply both sides by -1.