Final answer:
To simplify the expression -3/4x - 1/3 + 7/8x - 1/2, we combine like terms to get 1/8x for the x terms and -5/6 for the constant terms, resulting in the simplest form 1/8x - 5/6.
Step-by-step explanation:
To simplify the expression -3/4x - 1/3 + 7/8x - 1/2, we need to combine like terms. We can start by combining the terms that contain 'x'.
-3/4x + 7/8x = -6/8x + 7/8x = 1/8x (after finding a common denominator and combining the coefficients)
Now, we combine the constant terms:
-1/3 - 1/2 = -2/6 - 3/6 = -5/6 (again, finding a common denominator and combining)
Putting it all together, we get the simplified expression:
1/8x - 5/6
This is the simplest form of the given expression.