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The expression provided is:

\[
\frac{3x}{x + 5} + \frac{4x}{x + 5}
\]

Since both terms have a common denominator of \( x + 5 \), we can combine them by adding the numerators:

\[
\frac{3x + 4x}{x + 5} = \frac{7x}{x + 5}
\]

So, the simplified expression is:

\[
\frac{7x}{x + 5}
\]

Would you like a further breakdown or have any questions?

Here are 5 related questions to expand on this:

1. How would you simplify an expression with different denominators?
2. What happens if you factor the numerator and denominator further?
3. How does the solution change if one term had a different denominator?
4. How do you simplify expressions when variables are in both numerator and denominator?
5. What are some common methods for simplifying fractions?

**Tip:** When adding fractions with the same denominator, combine the numerators and keep the denominator as it is.

Simplify the expression \( \frac{3x}{x + 5} + \frac{4x}{x + 5} \).

Learn how to simplify the expression (3x/(x + 5)) + (4x/(x + 5)) by combining terms with a common denominator. This problem covers key algebraic concepts, including simplifying fractions and adding fractions with a shared denominator, ideal for students in Grades 7-8.

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