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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.

Solve the equation 2x - 7(x + 10) = □x - □.

Explore how to solve algebraic equations like 2x - 7(x + 10) = -5x - 70 by simplifying expressions and combining like terms, including step-by-step distribution and simplification methods. Suitable for students in Grades 7-10.

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