7. While he was watching his brother do the dishes and dry the plastic silverware, Joe McGillicuddy knew that his brother would always be his mother's favorite and his chances for redemption were slim.

Ans.

While he was watching his brother do the dishes and dry the plastic silverware, Joe McGillicuddy knew that his brother would always be his mother's favorite and that his chances for redemption were slim.

Here we have a compound noun clause:

Joe McGillicuddy knew that his brother. . . and that his chances . . .

The second "that" is missing, so it must be replaced.

[Score 4 pts.]