The given expression is,
[tex]m+7=3+m+4[/tex]Now, let us add 3 and 4,
[tex]\begin{gathered} m+7=m+7 \\ \end{gathered}[/tex]Bringing all the "m" together,
[tex]\begin{gathered} m-m+7=7 \\ 7=7 \end{gathered}[/tex]Since 7=7, the equation will always be true for any value of m. So the interval notation is,
[tex](-\infty,\infty)[/tex]