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To solve the equation \( 7x + 3 = 5x + 11 \) for \( x \), follow these steps:

1. **Move the terms involving \( x \) to one side of the equation:**
   \[
   7x - 5x = 11 - 3
   \]
   Simplifying both sides gives:
   \[
   2x = 8
   \]

2. **Solve for \( x \) by dividing both sides by 2:**
   \[
   x = \frac{8}{2} = 4
   \]

So, the solution is \( x = 4 \).

Would you like more details, or do you have any questions?

### Related Questions:
1. What would the solution be if the equation was \( 7x + 3 = 5x + 13 \)?
2. How would the solution change if the equation were \( 7x - 3 = 5x + 11 \)?
3. Can you solve for \( x \) in the equation \( 3x + 7 = 2x + 15 \)?
4. What is the general approach to solving linear equations with variables on both sides?
5. How can you verify the solution \( x = 4 \) for the equation \( 7x + 3 = 5x + 11 \)?

### Tip:
When solving linear equations, always aim to simplify the equation by moving all terms involving the variable to one side and constant terms to the other. This makes it easier to isolate the variable and solve for it.

Learn how to solve the linear equation 7x + 3 = 5x + 11 step-by-step with detailed explanations. This problem involves basic algebraic concepts, including isolating variables and simplifying equations. Suitable for students in Grades 7-9.

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