To solve the equation \( 3x + 4 = -4 + 3x \), follow these steps:

1. Start by subtracting \( 3x \) from both sides to eliminate the \( 3x \) terms:
   \[
   3x + 4 - 3x = -4 + 3x - 3x
   \]
   This simplifies to:
   \[
   4 = -4
   \]

2. This results in a false statement (\( 4 \neq -4 \)). Therefore, the equation has **no solution**.

This is an inconsistent equation, meaning there is no value of \( x \) that satisfies it.

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How can you identify when an equation has no solution?
2. What does it mean for an equation to be inconsistent?
3. Can you have equations where all values of \( x \) are solutions?


Discover how to solve the inconsistent linear equation 3x + 4 = -4 + 3x with a clear step-by-step guide. This problem demonstrates how to recognize when an equation has no solution, focusing on algebraic principles. Ideal for students in Grades 7-9.

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