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The value of x using alternate angle theorem is: 17
Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.
Using the concept of alternate angles, we can say that:
4x + 7 = 75
4x = 75 - 7
4x = 68
x = 68/4
x = 17
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