Simplify the expression $(9x^2+3x+7)+(3x^2+7x^5+2)$. Express your answer as a polynomial with terms arranged in decreasing order of degree.
Combining like terms, we find that  \begin{align*}
(9x^2+3x+7)+&(3x^2+7x^5+2)\\
&=(9x^2+3x^2)+(7+2)+7x^5+3x\\
&=\boxed{7x^5+12x^2+3x+9}.
\end{align*}