What is the value of $x$ in the equation $3x + 2 + 3(1+x) = 23$?
To solve for $x$, I need to simplify the equation and isolate $x$ on one side. First, I can apply the distributive property to the parentheses on the left side and get $3x + 2 + 3 + 3x = 23$. Then, I can combine like terms on the left side and get $6x + 5 = 23$. Next, I can subtract $5$ from both sides and get $6x = 18$. Finally, I can divide both sides by $6$ and get $x = 3$. 