https://file.aiquickdraw.com/mathbot/file/1729613498029eerpyx6s.jpg

Let's solve the equation provided in the image: 

\[ 4x + 1 = 3x + 9 \]

### Steps:
1. Subtract \( 3x \) from both sides:
   \[ 4x - 3x + 1 = 9 \]
   This simplifies to:
   \[ x + 1 = 9 \]

2. Subtract 1 from both sides:
   \[ x = 9 - 1 \]
   \[ x = 8 \]

So, the solution is \( x = 8 \).

The correct answer is **8**.

Do you want more details on this, or do you have any further questions?

### Relative Questions:
1. What happens if both sides of the equation contain \(x^2\) terms?
2. How can we solve equations with fractions, like \( \frac{3}{2}x + 1 = 5 \)?
3. How do you solve quadratic equations?
4. What if the variable is on both sides, but there are constants with them?
5. Can you explain how to check solutions by substituting back into the equation?

### Tip:
Always move all variable terms to one side and constant terms to the other for a clearer path to solving linear equations.

Learn how to solve the linear equation 4x + 1 = 3x + 9 with a clear step-by-step explanation. This basic algebra problem involves simplifying terms and isolating the variable x. Suitable for students in Grades 6-8.

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