Here are the simplified solutions to the problems shown in the image:

1. $m + 8 - 2m$
   Combine like terms:
   $m - 2m + 8 = -m + 8$

3. $1 + 10n + 5n - 4$
   Combine constants and like terms:
   $(1 - 4) + (10n + 5n) = -3 + 15n$

5. $1x + 10x$
   Combine like terms:
   $11x$

7. $-1 + 8(9 + x)$
   Distribute the $8$:
   $-1 + 72 + 8x$
   Combine constants:
   $71 + 8x$

9. $6(4b + 4) + 3b$
   Distribute the $6$:
   $24b + 24 + 3b$
   Combine like terms:
   $27b + 24$

11. $5(n + 6) - 5$
    Distribute the $5$:
    $5n + 30 - 5$
    Combine constants:
    $5n + 25$

Let me know if you want any of these steps explained in more detail!

Questions to deepen understanding:

1. How do you identify and combine like terms in an expression?
2. Why is it important to distribute multiplication over addition in expressions like $8(9 + x)$?
3. What role does the associative property play when simplifying expressions?
4. Can you think of scenarios where distribution might need to be applied multiple times in one problem?
5. How does simplifying expressions relate to solving equations?

Tip:

Always start by handling parentheses and combining like terms systematically to avoid mistakes!