The line segment FG can be represented as expression 4x whose midpoint is N
We are provided with that Point N is the midpoint of FG and FN = 2x and We need to find expression that represents FG
As N is the midpoint of line segment FG than FN = NG
Also it could be written as FG = FN + NG because FG is the broken into two different line segment FN and NG because of the midpoint N
Therefore, FN = 2x which means FN= NG=2x
So, we can write an expression that could represent FG
FG = FN + NG
FG = 2x + 2x
FG = 4x
Hence, The line segment FG can be represented as expression 4x
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