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!

Solve the arithmetic expression {(2+3)-(5×2)+(-3+1)}÷7 with a step-by-step solution. Learn key concepts such as the order of operations and simplifying complex expressions. Suitable for students in Grades 6-8.

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