
Jon S. answered 01/21/21
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By segment addition postulate: LM + MN = LN
given LM = 4x, MN = 2x and LN = 3x + 3:
4x + 2x = 3x + 3
6x = 3x + 3
3x = 3
x = 1
MN = 2x = 2.