Final answer:
The equation to determine the number of points Carlos scored in the last game is 2c - 7 = 31.
Step-by-step explanation:
To write an equation to determine the number of points Carlos scored in the last game, we need to use the information given. Fabio scored 7 points less than 2 times as many points as Carlos. Since Fabio scored 31 points, we can write the equation as:
2c - 7 = 31