1. **State the problem:** Add the two complex numbers $ (3 - 5i) $ and $ (7 - 2i) $. 2. **Formula and rules:** To add complex numbers, add their real parts and their imaginary parts separately. 3. **Add the real parts:** $3 + 7 = 10$ 4. **Add the imaginary parts:** $-5i + (-2i) = -7i$ 5. **Combine the results:** The sum is $10 - 7i$ 6. **Final answer:** $$10 - 7i$$