BEGIN_PGML [`` \begin{aligned} P(t) &= A^2xe^{-Ax} \\ &= A^2(xe^{-Ax}) && \text{First pull out the constant of $A^2$} \\ \\ P'(t) &= A^2\left(x'e^{-Ax}+xe^{-Ax}(-Ax')\right) && \text{Product rule and chain rule} \\ &= A^2\left(e^{-Ax}+xe^{-Ax}(-A)\right) && \text{Since $x' = 1$} \\ &= A^2e^{-Ax}(1-Ax) && \text{Pull out common factor} \end{aligned} ``] END_PGMLwill produce a layout that has equations on the left and explanations on the right. Note the use of
\text{}
to get the explanations, and also the use of $...$
within the text to get back to math mode.
The downside of this is that the text is not in the same font as the surrounding text. But perhaps the layout is more important.
I've attached an image of the resulting alignment.