What is the value of $x$ in the equation $2x + \frac{1}{2}x + 2(1+x) = 29$?
To solve for $x$, I need to simplify this equation and isolate $x$ on one side. First, I notice that the left side has several terms involving $x$, so I can try to combine them using the distributive property and the common denominator. I rewrite the equation as $2x + \frac{1}{2}x + 2 + 2x = 29$. Then, I multiply both sides by 2 to get rid of the fraction and make the coefficients of $x$ whole numbers. This gives me $4x + x + 4 + 4x = 58$. Now, I can combine the like terms involving $x$ by adding their coefficients. This simplifies to $9x + 4 = 58$. Next, I want to isolate $x$ by subtracting 4 from both sides. This gives me $9x = 54$. Finally, I divide both sides by 9 to get $x$ by itself. This gives me $x = 6$. 