Let's solve the equation step by step.

We start with the given equation:

$-2(3x - 3) + 4x - 4 = 0$

Step 1: Distribute the $-2$ across the terms inside the parentheses:

$-2 \cdot 3x = -6x$ $-2 \cdot -3 = 6$

Now the equation becomes:

$-6x + 6 + 4x - 4 = 0$

Step 2: Combine like terms:

$-6x + 4x = -2x$ $6 - 4 = 2$

The equation simplifies to:

$-2x + 2 = 0$

Step 3: Solve for $x$:

Subtract 2 from both sides:

$-2x = -2$

Now, divide both sides by $-2$:

$x = 1$

Final Answer:

$x = 1$

Would you like more details or have any questions?

Here are 5 related questions you could explore:

1. How would you solve a similar equation with fractions?
2. Can you generalize the solution for equations with multiple variables?
3. What happens if there’s no solution to a linear equation?
4. How do you check if your solution is correct?
5. How would the solution change if there were inequalities involved?

Tip: Always simplify your equation step by step to avoid calculation errors.