Chicago White Sox First-Place Eliminiation Scenario
Chicago must win 29 more games (44 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Chicago finishes in first place with 44 wins:

Team             W	L	PCT	GB
Chicago          44	118	0.272	0.00
Cleveland        44	118	0.272	0.00
Kansas City      44	118	0.272	0.00
Detroit          44	118	0.272	0.00
Minnesota        44	118	0.272	0.00

Tie breakers
Chicago wins the series with Cleveland 8 games to 5
Chicago wins the series with Detroit 9 games to 4
Chicago wins the series with Kansas City 7 games to 6
Chicago wins the series with Minnesota 7 games to 6

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Detroit          33	18	111	0.647	0.0
Cleveland        27	22	113	0.551	5.0
Minnesota        27	22	113	0.551	5.0
Kansas City      28	23	111	0.549	5.0
Chicago          15	35	112	0.300	17.5

Next, we show how the remaining series of games plays out in the scenario:

Chicago currently has 0 win(s) against Cleveland and 3 loss(es).
Chicago wins 8 additional game(s) against Cleveland and loses 2.
Chicago wins the series 8 games to 5.
Chicago wins 0 additional game(s) against teams outside the division and loses 76.

Chicago currently has 0 win(s) against Detroit and 3 loss(es).
Chicago wins 9 additional game(s) against Detroit and loses 1.
Chicago wins the series 9 games to 4.
Chicago wins 0 additional game(s) against teams outside the division and loses 76.

Chicago currently has 0 win(s) against Kansas City and 4 loss(es).
Chicago wins 7 additional game(s) against Kansas City and loses 2.
Chicago wins the series 7 games to 6.
Chicago wins 0 additional game(s) against teams outside the division and loses 76.

Chicago currently has 2 win(s) against Minnesota and 4 loss(es).
Chicago wins 5 additional game(s) against Minnesota and loses 2.
Chicago wins the series 7 games to 6.
Chicago wins 0 additional game(s) against teams outside the division and loses 76.

Cleveland currently has 1 win(s) against Detroit and 0 loss(es).
Cleveland wins 12 additional game(s) against Detroit and loses 0.
Cleveland wins the series 13 games to 0.
Cleveland wins 0 additional game(s) against teams outside the division and loses 77.

Cleveland currently has 4 win(s) against Kansas City and 2 loss(es).
Cleveland wins 0 additional game(s) against Kansas City and loses 7.
Cleveland loses the series 4 games to 9.
Cleveland wins 0 additional game(s) against teams outside the division and loses 77.

Cleveland currently has 4 win(s) against Minnesota and 2 loss(es).
Cleveland wins 3 additional game(s) against Minnesota and loses 4.
Cleveland wins the series 7 games to 6.
Cleveland wins 0 additional game(s) against teams outside the division and loses 77.

Detroit currently has 3 win(s) against Kansas City and 1 loss(es).
Detroit wins 9 additional game(s) against Kansas City and loses 0.
Detroit wins the series 12 games to 1.
Detroit wins 0 additional game(s) against teams outside the division and loses 70.

Detroit currently has 2 win(s) against Minnesota and 1 loss(es).
Detroit wins 1 additional game(s) against Minnesota and loses 9.
Detroit loses the series 3 games to 10.
Detroit wins 0 additional game(s) against teams outside the division and loses 70.

Kansas City currently has 3 win(s) against Minnesota and 1 loss(es).
Kansas City wins 7 additional game(s) against Minnesota and loses 2.
Kansas City wins the series 10 games to 3.
Kansas City wins 0 additional game(s) against teams outside the division and loses 77.

# Chicago White Sox' magic number
# Chicago's magic number
# White Sox' magic number
# MLB Playoff Race