The given expression from the image is:

$5(x + 7) + 2(3x - 4)$

Step-by-Step Simplification:

1. Distribute the terms:

   • Distribute the 5 across $(x + 7)$: $5(x + 7) = 5x + 35$
   • Distribute the 2 across $(3x - 4)$: $2(3x - 4) = 6x - 8$

2. Combine like terms:

   • Now, add the results: $(5x + 35) + (6x - 8) = 5x + 6x + 35 - 8$
   • Combine the $x$-terms and constants: $11x + 27$

Final Simplified Expression:

$11x + 27$

Would you like more details, or do you have any questions about the process?

Here are 5 related questions to consider:

1. What happens when you multiply two binomials, such as $(x + 7)(3x - 4)$?
2. How can you factor the expression $11x + 27$?
3. What are some strategies to solve for $x$ if you set $11x + 27 = 0$?
4. How would the problem change if the expression were $5(x - 7) + 2(3x + 4)$?
5. What is the significance of distributing in simplifying algebraic expressions?

Tip: When simplifying expressions, always perform distribution first, then combine like terms to keep the process organized.