To solve the equation \( 3x + 1 = 0 \):

1. Subtract 1 from both sides:
   \[
   3x = -1
   \]

2. Divide both sides by 3:
   \[
   x = \frac{-1}{3}
   \]

Thus, the solution is \( x = -\frac{1}{3} \).

Would you like further details or have any questions?

Here are five related questions:
1. How would you solve the equation \( 5x + 2 = 0 \)?
2. What is the solution to \( 4x - 7 = 0 \)?
3. How do you solve \( 2x + 5 = 9 \)?
4. What happens if the equation was \( 3x + 1 = 5 \)?
5. Can you solve \( 6x + 3 = 0 \)?

**Tip:** Always isolate the variable by performing inverse operations to solve linear equations effectively.

Learn how to solve the linear equation 3x + 1 = 0 with a detailed step-by-step solution. This problem covers basic algebraic concepts, including isolating variables and solving linear equations. Suitable for students in Grades 7-9.

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