https://file.aiquickdraw.com/mathbot/file/1727373123532637pc992.jpg

Let's break down the expression from the image: 

**5b - 1 + 3b + 7**

### Step 1: Combine the "b" terms
The like terms involving \( b \) are:
- \( 5b \)
- \( 3b \)

Combining them gives:
\[
5b + 3b = 8b
\]

### Step 2: Combine the constant terms
The constant terms are:
- \( -1 \)
- \( 7 \)

Combining these gives:
\[
-1 + 7 = 6
\]

### Final Expression:
The simplified expression is:
\[
8b + 6
\]

### Answer:
The correct answer is **A) 8b + 6**.

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Do you need further clarification or details?

Here are some related questions you might want to explore:
1. How would you combine like terms in \( 6x - 2 + 4x + 5 \)?
2. What is the result when combining terms like \( 7y + 3 - 5y - 8 \)?
3. Can you explain how to distribute and combine like terms in \( 2(3x + 5) - 4x \)?
4. How do you handle combining like terms with different variables, like \( 3a + 5b - 2a + 4b \)?
5. What happens if you have to combine like terms with fractions, e.g., \( \frac{3}{2}x + \frac{1}{2}x + 2 \)?

**Tip:** Always identify terms with the same variable and exponent to combine them easily!

Learn how to combine like terms in the algebraic expression 5b - 1 + 3b + 7. This problem involves simplifying terms with the same variable and combining constants, suitable for students in Grades 6-8.

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