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\documentclass[10pt,a4paper,sans]{moderncv}

\moderncvstyle{classic}
\moderncvcolor{red}
\usepackage{ragged2e}
\usepackage{lipsum}
\usepackage[utf8]{inputenc}
\usepackage[ngerman]{babel}
\usepackage[scale=0.75]{geometry}

\firstname{Max}
\familyname{Mustermann}

\title{Curriculum Vitae}
\address{Musterstadt}{Musterland}

\makeatletter
\renewcommand*{\makeletterhead}{%
  % recompute lengths (in case we are switching from letter to resume, or vice versa)
  \recomputeletterlengths%
  % sender contact info
  \hfill%
  \begin{minipage}{.5\textwidth}%
    % optional detailed information
    \if@details%
      \raggedleft%
      \addressfont\textcolor{color2}{%
        {\bfseries\upshape\@firstname~\@lastname}\@firstdetailselementfalse%
        % optional detailed information
        \ifthenelse{\isundefined{\@addressstreet}}{}{\makenewline\addresssymbol\@addressstreet%
          \ifthenelse{\equal{\@addresscity}{}}{}{\makenewline\@addresscity}% if \addresstreet is defined, \addresscity and addresscountry will always be defined but could be empty
          \ifthenelse{\equal{\@addresscountry}{}}{}{\makenewline\@addresscountry}}%
        \collectionloop{phones}{% the key holds the phone type (=symbol command prefix), the item holds the number
          \makenewline\csname\collectionloopkey phonesymbol\endcsname\collectionloopitem}%
        \ifthenelse{\isundefined{\@email}}{}{\makenewline\emailsymbol\emaillink{\@email}}%
        \ifthenelse{\isundefined{\@homepage}}{}{\makenewline\homepagesymbol\httplink{\@homepage}}%
        \ifthenelse{\isundefined{\@extrainfo}}{}{\makenewline\@extrainfo}}\fi%
    \end{minipage}\\[1em]
  % recipient block
  \begin{minipage}[t]{.5\textwidth}
    \raggedright%
    \addressfont%
    {\bfseries\upshape\@recipientname}\\%
    \@recipientaddress%
  \end{minipage}
  % date
  \hfill% US style
%  \\[1em]% UK style
  \@date\\[2em]% US informal style: "January 1, 1900"; UK formal style: "01/01/1900"
  % opening
  \raggedright%
  \@opening\\[\baselineskip]% 
  % ensure no extra spacing after \makelettertitle due to a possible blank line
%  \ignorespacesafterend% not working
  \hspace{0pt}\par\vspace{-\baselineskip}\vspace{-\parskip}}
\makeatother

\begin{document}
\clearpage

\recipient{HR}{Muster Firma}
%\date{\today}
\opening{Hallo}
\closing{Mit freundlichen Grüßen,}

\makelettertitle
\justifying
\lipsum[2]

\lipsum[3]
\end{document}

\documentclass[10pt,a4paper,sans]{moderncv} 

\moderncvstyle{classic} 
\moderncvcolor{red} 
\usepackage{ragged2e}
\usepackage{lipsum} 
\usepackage[utf8]{inputenc}
\usepackage[ngerman]{babel}
\usepackage[scale=0.75]{geometry}

\firstname{Max} 
\familyname{Mustermann} 

\title{Curriculum Vitae}
\address{Musterstadt}{Musterland}

\makeatletter

\makeatother

\begin{document}
\clearpage

\recipient{HR}{Muster Firma} 
\date{\today} 
\opening{Hallo} 
\closing{Mit freundlichen Grüßen,}
\enclosure[Anlagen]{I \\ \vspace{5cm} I}

\makelettertitle
\justifying
\lipsum[2]

\lipsum[3] 



\end{document}