Let's simplify the expression step by step:

Given:
$5(2x + 1) + 3(2 + 6x)$

1. Distribute the $5$ across the terms inside the first parentheses: $5(2x) + 5(1) = 10x + 5$

2. Distribute the $3$ across the terms inside the second parentheses: $3(2) + 3(6x) = 6 + 18x$

3. Now combine all the terms: $10x + 5 + 6 + 18x$

4. Combine like terms ($10x$ and $18x$; $5$ and $6$): $(10x + 18x) + (5 + 6) = 28x + 11$

So, the simplified expression is: $28x + 11$

Would you like more details or have any questions?

Here are 5 related questions to expand this:

1. How do you solve an equation like $5(2x+1) + 3(2+6x) = 0$?
2. What is the process for factoring linear expressions like $28x + 11$?
3. How can you solve the equation $28x + 11 = 0$?
4. Can you explain the distributive property in algebra?
5. How do you combine like terms in more complex expressions?

Tip: Always perform distribution first before combining like terms when simplifying expressions.