Boston Red Sox First-Place Elimination Scenario
Boston must win 7 more games (89 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Boston finishes in first place with 89 wins:

Team             W	L	PCT	GB
Boston           89	73	0.549	0.00
New York         89	73	0.549	0.00
Toronto          88	74	0.543	1.00
Tampa Bay        83	79	0.512	6.00
Baltimore        75	87	0.463	14.00

Tie breakers
Boston wins the series with New York 9 games to 4

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Toronto          88	62	12	0.587	0.0
New York         83	67	12	0.553	5.0
Boston           82	68	12	0.547	6.0
Tampa Bay        73	77	12	0.487	15.0
Baltimore        70	80	12	0.467	18.0

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

Baltimore currently has 5 win(s) against Boston and 8 loss(es).
Baltimore and Boston have no remaining games.
Baltimore loses the series 5 games to 8.
Baltimore wins 2 additional game(s) against teams outside the division and loses 0.

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

Baltimore currently has 5 win(s) against Tampa Bay and 5 loss(es).
Baltimore wins 1 additional game(s) against Tampa Bay and loses 2.
Baltimore loses the series 6 games to 7.
Baltimore wins 2 additional game(s) against teams outside the division and loses 0.

Baltimore currently has 6 win(s) against Toronto and 7 loss(es).
Baltimore and Toronto have no remaining games.
Baltimore loses the series 6 games to 7.
Baltimore wins 2 additional game(s) against teams outside the division and loses 0.

Boston currently has 9 win(s) against New York and 4 loss(es).
Boston and New York have no remaining games.
Boston wins the series 9 games to 4.
Boston wins 3 additional game(s) against teams outside the division and loses 3.

Boston currently has 8 win(s) against Tampa Bay and 2 loss(es).
Boston wins 1 additional game(s) against Tampa Bay and loses 2.
Boston wins the series 9 games to 4.
Boston wins 3 additional game(s) against teams outside the division and loses 3.

Boston currently has 3 win(s) against Toronto and 7 loss(es).
Boston wins 3 additional game(s) against Toronto and loses 0.
Boston loses the series 6 games to 7.
Boston wins 3 additional game(s) against teams outside the division and loses 3.

New York currently has 9 win(s) against Tampa Bay and 4 loss(es).
New York and Tampa Bay have no remaining games.
New York wins the series 9 games to 4.
New York wins 1 additional game(s) against teams outside the division and loses 4.

New York currently has 5 win(s) against Toronto and 8 loss(es).
New York and Toronto have no remaining games.
New York loses the series 5 games to 8.
New York wins 1 additional game(s) against teams outside the division and loses 4.

Tampa Bay currently has 5 win(s) against Toronto and 2 loss(es).
Tampa Bay wins 6 additional game(s) against Toronto and loses 0.
Tampa Bay wins the series 11 games to 2.
Tampa Bay wins 0 additional game(s) against teams outside the division and loses 0.

# Boston Red Sox' magic number
# Boston's magic number
# Red Sox' magic number
# MLB Playoff Race