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-100=x+\frac{400}{2}
Multiply \frac{1}{2} and 400 to get \frac{400}{2}.
-100=x+200
Divide 400 by 2 to get 200.
x+200=-100
Swap sides so that all variable terms are on the left hand side.
x=-100-200
Subtract 200 from both sides.
x=-300
Subtract 200 from -100 to get -300.