The expression you provided is:

$4x + 8 + x + 3$

Let's simplify it by combining like terms:

1. Combine the $x$-terms: $4x + x = 5x$
2. Combine the constant terms: $8 + 3 = 11$

So, the simplified expression is:

$5x + 11$

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How do you solve $5x + 11 = 0$?
2. Can you simplify $3x + 7 + 2x + 5$?
3. What happens if you subtract $3x$ from $5x + 11$?
4. How do you factor $5x + 11$, if possible?
5. What is the value of $x$ if $5x + 11 = 21$?

Tip: When simplifying algebraic expressions, always group the like terms together to make calculations easier!