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skylarbrunet202
I believe the answer is C my friend. Hope this helped :)
Since D is the midpoint we know that ED and DG are equal. 

Set ED and DG equal to each other and solve for x.

x - 5 = 4x - 38
x = 4x - 33
-3x = -33
x = 11

Now find the measure of ED and DG by substituting in 11 for x.

ED = 11 - 5 = 6
DG = 4(11) - 38 = 6

Now add them to find the measure of EG.

6 + 6 = EG
12 = EG

Hope this helps :)

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