Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & 9x & 9 \\ \color{blue}{ + } & -9x^2 & -8x & 6 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & 9x & 9 \\ \color{blue}{ + } & -9x^2 & -8x & 6 \\ \hline & -9x^2 & x & 15 \end{array} $$