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Answer:
x must be rational
Explanation:
Assuming a, b, m, n are integers (with b, n not zero), the closure properties of the set of integers tell you that any product or sum of integers is also an integer. That means the difference of products bm-an is an integer, as is the product bn.
Then the value of x is a ratio of integers, so is rational.
The conclusion you can draw is that x must be rational if its sum with a rational number is also rational.