Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & x & 4 \\ \color{blue}{ + } & 4x & \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrr} & x & 4 \\ \color{blue}{ + } & 4x & \\ \hline & 5x & 4 \end{array} $$