The equation from the image is:

$(4 \cdot x) = 0 \cdot x + 4 \cdot 1 = 4$

Let's break it down:

1. $4 \cdot x = 0 \cdot x + 4$:
   • The left side is simply $4x$.
   • The right side simplifies to $0 + 4$, which is just $4$.

Thus, we have:

$4x = 4$

Now, solve for $x$:

$x = \frac{4}{4} = 1$

So, the solution is $x = 1$.

Would you like further clarification or details? Here are some related questions to deepen understanding:

1. How do we handle equations where there are multiple terms with $x$?
2. What does multiplying by 0 do in equations, as seen with $0 \cdot x$?
3. What steps are involved in simplifying both sides of an equation before solving?
4. How can we verify the solution once we have $x = 1$?
5. What if the equation had no solution or infinite solutions—how would we approach that?

Tip: Always simplify both sides of the equation as much as possible before attempting to solve for the variable.