If Ef bisects CD, CG = 9x - 4, GD = 2x + 31, EF = 4x - 1, and GF = 7, find EG

The value of EG is 12
Given equations of line are :
CG = 9x -4
GD = 2x+31
EF = 4x-1
GF = 7
We are asked to find the length of EG. We can start by analyzing the bisector, CD. Since the segment is the bisector, So CG = GD.
CG = GD
9x -4 = 2x+31
7x = 35
x = 5
Analyzing EF
EF = EG + GF
4x-1 = EG +7
20 - 1 -7 = EG
EG = 12
The value of EG is 12
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