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\documentclass{article}
\newlength{\varwidth}
\newenvironment{varpage}[1]
{\settowidth{\varwidth}{#1}\begin{minipage}{\varwidth}}
{\end{minipage}}
\begin{document}
\noindent
\begin{varpage}{`As wide as this sample text'}
The width of this \texttt{minipage} environment is equal to that of the
text\\
`As wide as this sample text'\\
as to seen here,
\end{varpage}\qquad
\begin{varpage}{`narrow sample text'}
followed by the smal\-ler \texttt{minipage} environment of the width equal
to the text:\\
`narrow sample text'
\end{varpage}
\end{document}
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