simplify the expression and combine like terms.

3(x+1)+8+4x

To simplify the expression and combine like terms, you can start by distributing the 3 to both terms in the parentheses.

3(x+1) becomes 3*x + 3*1 = 3x + 3.

Now, the expression becomes:
3x + 3 + 8 + 4x.

Next, combine like terms. The two x terms can be combined, as well as the constant terms:
(3x + 4x) + (3 + 8) = 7x + 11.

So, the simplified expression with combined like terms is 7x + 11.