Determine angle ABE.
Angle bisector means it halves the angle. So that means \(ABE=EBC\)\(\Rightarrow2x+20=4x-6\Rightarrow2x=26\Rightarrow x=13\). Plug that into \(2x+20\) to find ABE. \(2\times13+20\Rightarrow46\) and the answer is \(\boxed{46}\)
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