Let's analyze the math problem from the image:

Tory is solving the equation $2x - 4(x + 1) = 3x$.

Here's how we can solve the equation step by step to determine which equation could be the next line in Tory's solution.

1. Distribute the -4 on the left-hand side: $2x - 4(x + 1) = 3x$ Distributing gives: $2x - 4x - 4 = 3x$

2. Simplify the left-hand side: $(2x - 4x) - 4 = 3x$ $-2x - 4 = 3x$

3. Move all the x terms to one side of the equation by adding $2x$ to both sides: $-2x + 2x - 4 = 3x + 2x$ $-4 = 5x$

The equation at this step is $-4 = 5x$, which matches option A).

Thus, the next line of Tory's solution is A) $-4 = 5x$.

Would you like further details or explanations on any step?

Here are five related questions to deepen your understanding:

1. How would you solve for $x$ after reaching $-4 = 5x$?
2. Why did we add $2x$ to both sides of the equation?
3. How does distributing a negative sign affect terms inside parentheses?
4. What happens if you forget to distribute the negative sign properly?
5. How would you check the solution once you solve for $x$?

Tip: When simplifying equations, always combine like terms first to make solving easier!