Let's simplify the expression step by step:

$(13 + 5) + 5 - 1$

1. First, simplify inside the parentheses: $13 + 5 = 18$

Now the expression becomes: $18 + 5 - 1$

2. Next, add 18 and 5: $18 + 5 = 23$

3. Finally, subtract 1 from 23: $23 - 1 = 22$

So, the result of the expression is 22.

Would you like a more detailed explanation or have any questions on this? Here are some related questions for you:

1. What is the difference between using parentheses and not using them in an expression?
2. How do you handle multiple operations in an expression?
3. What would the result be if the expression had been $(13 + 5) - (5 - 1)$?
4. How do you solve an expression with both addition and subtraction?
5. What would happen if we added a multiplication operation to the expression?

Tip: Always perform operations inside parentheses first before moving on to addition and subtraction.