Let's evaluate each of these expressions step-by-step, given that $x = 0$, $y = 22$, and $z = 20$.

1. $2x + 11$

Substitute $x = 0$: $2 \cdot 0 + 11 = 0 + 11 = 11$ Answer: $2x + 11 = 11$

2. $(2z + y) - 5$

Substitute $z = 20$ and $y = 22$: $(2 \cdot 20 + 22) - 5 = (40 + 22) - 5 = 62 - 5 = 57$ Answer: $(2z + y) - 5 = 57$

3. $|(y + z) - x|$

Substitute $y = 22$, $z = 20$, and $x = 0$: $|(22 + 20) - 0| = |42 - 0| = |42| = 42$ Answer: $|(y + z) - x| = 42$

Summary of Results

1. $2x + 11 = 11$
2. $(2z + y) - 5 = 57$
3. $|(y + z) - x| = 42$

Would you like further details on any of these calculations?

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Here are five related questions:

1. What is the value of $2x + 3y$ given the same values for $x$, $y$, and $z$?
2. How does the expression $3z - y + 7$ evaluate for $x = 0$, $y = 22$, and $z = 20$?
3. Can you calculate $|y - x| + |z - y|$ with these values?
4. What is the outcome of $x + y + z$ when $x = 0$, $y = 22$, and $z = 20$?
5. How would you simplify $|x + y - z|$ using the provided values?

Tip: When solving expressions with absolute values, remember that the absolute value function, $|a|$, removes any negative signs, making $|a|$ always non-negative.