Final answer:
After simplifying, the expression becomes 69x - 83, which does not match any of the given options. There may be a typo or an error in the question or answer choices as provided.
Step-by-step explanation:
To simplify the given expression, we first combine like terms (those that contain x and those that are constants separately) and simplify any fractions:
42x - 28 + 74/2x - 34/2x - 28 + 14/2x - 27
Combine terms with x:
42x + (74/2x - 34/2x + 14/2x)
Combine constant terms:
-28 - 28 - 27
Simplify terms with x (note that 74/2 - 34/2 + 14/2 simplifies to 27):
42x + 27x = 69x
Simplify constant terms (-28 - 28 - 27 becomes -83):
Therefore, 69x - 83 is the simplified expression.
Looking at the options given by the student, none of them match 69x - 83, so it seems there is a typo or an error in the question or the available choices. In this situation, we advise the student to recheck the original problem and the answer choices provided.