To expand and simplify 2(x+7)+3(x+1), we can distribute the 2 and 3 to the terms inside the parentheses:

2(x+7) + 3(x+1) = 2x + 27 + 3x + 31

Simplifying further:

= 2x + 14 + 3x + 3

Now, we can combine like terms:

= (2x + 3x) + (14 + 3)

= 5x + 17

Therefore, 2(x+7)+3(x+1) simplifies to 5x + 17.