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Answer :

The value of x from the given line segment is 5

Addition postulate

A line is defined as the shortest distance between two points. From the given line segment, the addition below is true;

NM + ML = NL

Given

NM = 9

ML = 2x-7

NL = x + 7

Substitute to have:

9 + 2x - 7 = x + 7

2x + 2 = x + 7

2x-x = 7 - 2

x = 5

Hence the value of x from the given line segment is 5

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