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To solve the problem, let's simplify the given expression by combining like terms.

The original expression is:
\[
a + 2a + b + 3b + 4a
\]

### Step 1: Combine the terms with \(a\):
- \(a + 2a + 4a = 7a\)

### Step 2: Combine the terms with \(b\):
- \(b + 3b = 4b\)

Therefore, the simplified expression is:
\[
7a + 4b
\]

The correct answer is the second option: \(7a + 4b\).

Would you like a detailed explanation of any step? 

Here are five related questions to consider:
1. How would you simplify an expression like \(3x + 5x + 2y + y\)?
2. What is the importance of combining like terms in algebra?
3. How do you handle expressions with subtraction, like \(2a - a + 3b - 2b\)?
4. What if there were more variables, such as \(a + 2a + b + 3b + c + 2c\)?
5. How do you combine terms when dealing with negative coefficients?

**Tip:** Always look for and combine terms that have the same variable and power to simplify expressions effectively.

Simplify the expression: a + 2a + b + 3b + 4a

Learn how to simplify the algebraic expression a + 2a + b + 3b + 4a by combining like terms. This problem is suitable for students in Grades 6-8 and covers key concepts in algebra.

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