To solve the equation \(4x + 9 = 40\), follow these steps:

1. **Subtract 9 from both sides** to isolate the term with \(x\):
   \[
   4x + 9 - 9 = 40 - 9
   \]
   \[
   4x = 31
   \]

2. **Divide both sides by 4** to solve for \(x\):
   \[
   x = \frac{31}{4}
   \]
   \[
   x = 7.75
   \]

Thus, the solution is \(x = 7.75\).

Would you like further clarification or details? Here are five related questions to explore:

1. What if the equation was \(5x + 9 = 50\)?
2. How do you solve \(4x + 9 = 0\)?
3. What happens if \(4x + 9 = -40\)?
4. Can you solve \(4x + 9 = 31 + 9x\)?
5. How would you check if \(x = 7.75\) is correct?

**Tip:** Always remember to perform the same operation on both sides of the equation when solving for a variable.

Learn how to solve the linear equation 4x + 9 = 40 with a detailed step-by-step solution. This problem covers core algebra concepts such as isolating the variable and dividing both sides to solve for x. Suitable for students in Grades 6-8.

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