1. **State the problem:** Fabio scored 31 points in the last game. Fabio had 7 points less than 2 times as many points as Carlos. We need to find how many points Carlos scored, denoted as $c$. 2. **Write the equation:** According to the problem, Fabio's points can be expressed as: $$\text{Fabio's points} = 2c - 7$$ 3. **Substitute the known value:** Fabio scored 31 points, so: $$31 = 2c - 7$$ 4. **Solve for $c$:** Add 7 to both sides: $$31 + 7 = 2c$$ $$38 = 2c$$ Divide both sides by 2: $$c = \frac{38}{2} = 19$$ 5. **Conclusion:** Carlos scored 19 points in the last game.