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To solve for x, we can use the fact that vertical angles are congruent. Thus, we set the measures of the two vertical angles equal to each other:
106° = 3x - 75
Now, we can solve for x by isolating it on one side of the equation. Adding 75 to both sides, we get:
106° + 75 = 3x
181° = 3x
Finally, dividing both sides by 3, we get:
x = 181° / 3
Therefore, the equation to solve for x is x = 181° / 3.