Answer: The correct option is
(D) [tex]6x+1.[/tex]
Step-by-step explanation: We are given to simplify the following expression :
[tex]E=(3x-5)+(3x+6)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To simplify the given expression, the coefficients of the terms involving x will be added and the constant will be added separately.
The simplification of expression (i) is as follows :
[tex]E\\\\=(3x-5)+(3x+6)\\\\=3x-5+3x+6\\\\=6x+1.[/tex]
Thus, the required simplified answer is [tex]6x+1.[/tex]
Option (D) is CORRECT.