Let's solve the expression step by step:

Given expression:

$\frac{(2 + 3) - (5 \times 2) + (-3 + 1)}{7}$

Step 1: Simplify inside the parentheses

• $2 + 3 = 5$
• $5 \times 2 = 10$
• $-3 + 1 = -2$

Now substitute these values back into the expression:

$\frac{5 - 10 + (-2)}{7}$

Step 2: Simplify the numerator

• $5 - 10 = -5$
• $-5 + (-2) = -7$

Now we have:

$\frac{-7}{7}$

Step 3: Perform the division

• $\frac{-7}{7} = -1$

Thus, the final result is:

$\boxed{-1}$

Do you need any further explanation or details?

Here are 5 related questions for practice:

1. Simplify $\frac{(4 + 6) - (3 \times 2)}{5}$.
2. Evaluate $\frac{(7 + 2) - (6 \times 3)}{3}$.
3. Solve $\frac{(1 + 2) \times (3 - 5)}{6}$.
4. Calculate $\frac{(10 + 5) - (2 \times 4)}{9}$.
5. What is the value of $\frac{(6 - 3) + (8 \times 2)}{4}$?

Tip: Always simplify the innermost parentheses first when solving complex expressions!