[waterhouse]

I made use of the fact that "egrep -o [some regex]" will print the first (going left-to-right) match for the regex. So I ran egrep -o, and several other programs, once per line of input. (And to go from right to left, I used "rev" and an egrep on the reversed string.) My computer wept, but it worked.

  pbpaste | bash -c '
    tt=0
    while read x; do
      y=$(( 10 *
            $(echo $x |
              egrep -o "[0-9]|one|two|three|four|five|six|seven|eight|nine" |
              head -1 |
              sed -E "s/one/1/; s/two/2/; s/three/3/; s/four/4/; s/five/5/; s/six/6/; s/seven/7/; s/eight/8/; s/nine/9/")
          + $(echo $x |
              rev |
              egrep -o "[0-9]|eno|owt|eerht|ruof|evif|xis|neves|thgie|enin" |
              head -1 |
              rev |
              sed -E "s/one/1/; s/two/2/; s/three/3/; s/four/4/; s/five/5/; s/six/6/; s/seven/7/; s/eight/8/; s/nine/9/")))
      tt=$((tt+y))
    done
    echo $tt'