Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 7x^2 & x & 1 \\ \color{blue}{ + } & 6x^2 & -8x & -10 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 7x^2 & x & 1 \\ \color{blue}{ + } & 6x^2 & -8x & -10 \\ \hline & 13x^2 & -7x & -9 \end{array} $$