Let's solve this step-by-step.

Given equation:
$2x - 7(x + 10) = \Box x - \Box$

1. Expand the expression on the left side:

   • Distribute the $-7$ into the parentheses: $2x - 7(x + 10) = 2x - 7x - 70$

2. Combine like terms:

   • Combine the $2x$ and $-7x$: $2x - 7x - 70 = -5x - 70$

Now, we can rewrite the equation in the form $\Box x - \Box$: $-5x - 70$

So, the equation simplifies to: $2x - 7(x + 10) = -5x - 70$

Thus, the boxes are filled as follows:

• The first box is $-5$.
• The second box is $70$.

Would you like further details or have any questions about this solution?

Here are 5 related questions for further exploration:

1. How would the solution change if the equation was $2x - 7(x + 10) = \Box x + \Box$?
2. What are the steps to solve for $x$ if this equation were an equality, such as $2x - 7(x + 10) = 0$?
3. What happens if we change the coefficient of $x$ in the parentheses to a different number, such as $2x - 7(2x + 10)$?
4. How can you graphically represent the equation $2x - 7(x + 10) = -5x - 70$?
5. What mathematical property is used when distributing $-7$ into $(x + 10)$?

Tip: Always combine like terms after distributing to simplify the equation to its basic form.