To justify each step in solving the equation $4x = 7(x - 3)$, let’s fill in the reasons for each statement:

Each step follows logically from the previous one, demonstrating the progression toward isolating $x$ to find its value.

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

Here are some related questions to consider:

1. How would the solution change if the original equation were $4x = 7(x + 3)$ instead?
2. Why is it necessary to use the distributive property in the second step?
3. Can this solution be verified by substituting $x = 7$ back into the original equation?
4. What if the equation included additional terms, such as $4x + 5 = 7(x - 3) + 10$?
5. How would this approach differ if fractions were involved in the equation?

Tip: When solving equations, always aim to simplify each side of the equation before isolating the variable. This can make the solution process much clearer and easier to manage.