This is a follow up to How to add another row of tick labels? I currently have another row of tick labels for every plot in a group of plots. What I want to do is to have the descriptions for the extra row of tick labels to appear only once per row of plots, like what y descriptions at=edge left does for axis descriptions.
What I currently get is the following where the undesirable descriptions are marked:

\documentclass{article}
\usepackage{pgfplots}
\usepgfplotslibrary{groupplots}
\pgfplotsset{
domain=0:1,
xmin=0, xmax=1,
ymax=1, ymin=-1
}
\begin{document}
\begin{figure}
\begin{tikzpicture}
\begin{groupplot}[width=6cm,
clip=false,
xtick align=inside,
extra x ticks={0, 0.2, 0.4, ..., 1},
every extra x tick/.style={major tick length=0pt,
xtick align=outside, yshift=-10pt},
group style={group size=2 by 2,
y descriptions at=edge left},
ylabel={\(f(x)\)},
]
\pgfplotsinvokeforeach{0.2, 0.4, 0.6, 0.8}{
\nextgroupplot[extra x tick labels={#1, #1, #1, #1, #1 ,#1}]
\addplot{#1 - x};
\node at (axis description cs:0,0) [anchor=north east, align=left,xshift=-12pt] {\(x_1\)};
\node at (axis description cs:0,0) [anchor=north east, align=left,xshift=-12pt,yshift=-11pt] {\(x_2\)};
}
\end{groupplot}
\end{tikzpicture}
\end{figure}
\end{document}
Obviously I could skip the loop and write out each plot and their options explicitly. But that seems like a hack and bad style. For instance, it would mean that content and style are less separated. Ideally I would like to keep the loop but still have control over the style options, such as via an interface that lets you do things like extra x descriptions at=edge left.

legend to name=grouplegendto that\nextgroupplot? That is the reason I asked http://tex.stackexchange.com/q/66069/5701 but that may be the wrong approach to add a legend to the first plot and still have a loop. – N.N. Aug 08 '12 at 10:54\pgfplotsset{legend entries=...}. I've edited my answer to show an example. – Jake Aug 08 '12 at 11:03