Simplify this algebraic expression.

𝑥

−

5

5

+

1

0

x− 

5

5

​

 +10

It seems there might have been some formatting issues in the expression. If I understand correctly, you want to simplify the expression:

\[
\frac{x - 5}{5} + 10
\]

Let's simplify it step by step:

1. **Simplify the fraction**: The expression \(\frac{x - 5}{5}\) is already in its simplest form.

2. **Combine with 10**: To combine \(\frac{x - 5}{5}\) with \(10\), let's express 10 as a fraction with the same denominator:

   \[
   10 = \frac{10 \times 5}{5} = \frac{50}{5}
   \]

   Now, add the fractions:
   \[
   \frac{x - 5}{5} + \frac{50}{5} = \frac{(x - 5) + 50}{5}
   \]

3. **Simplify the numerator**: Combine the terms in the numerator:
   \[
   \frac{x - 5 + 50}{5} = \frac{x + 45}{5}
   \]

So, the simplified expression is:

\[
\boxed{\frac{x + 45}{5}}
\]

Would you like more details or have any questions?

Here are five related questions to explore further:

1. How would you simplify \(\frac{2x - 4}{4} + 3\)?
2. What happens when you simplify \(\frac{y - 7}{3} + 8\)?
3. How can you express \(\frac{x + 45}{5}\) as a sum of two terms?
4. What is the result of simplifying \(\frac{3x + 12}{6} + 2\)?
5. How would the expression change if it were \(\frac{x + 15}{5} + 10\) instead?

**Tip:** When adding fractions with the same denominator, simply add the numerators while keeping the denominator unchanged.

Learn how to simplify the algebraic expression (x - 5)/5 + 10 step-by-step. This problem involves fraction simplification and addition, suitable for students in Grades 6-8.

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