Let x be a number such that
[tex]|x-7|=6.[/tex]Solving the above equation for x we get:
[tex]\begin{gathered} x-7=\pm6, \\ x=7\pm6, \\ x=1\text{ or x=13.} \end{gathered}[/tex]Answer: The numbers that are a distance of 6 away from the number 7 are:
1, and 13.