Final answer:
The expression that is not equivalent to 3r - 22 is D. 4r-4-x+2, as its simplified form, 4r - x - 2, does not match the original expression due to different variables and terms.
Step-by-step explanation:
The expression that is not equivalent to 3r - 22 is D. 4r-4-x+2. To determine the equivalence of the given expressions, we need to simplify each option and compare it with the original expression, 3r - 22.
- A. x+x-1-1+x simplifies to 3x - 2 which is not clearly equivalent to 3r - 22 as the variables differ.
- B. 21 + 2 equals a constant 23, which lacks the variable part present in 3r - 22, thus not equivalent.
- C. 3 - x + 2 - 5 + 2x simplifies to x. Again, the result is not equivalent to 3r - 22 due to different variables and missing terms.
- D. 4r-4-x+2 simplifies to 4r - x - 2. This expression contains different variables and its simplified form does not match the original expression 3r - 22.
Therefore, the correct answer is D. 4r-4-x+2.