To solve $\left(-5 + 2i\right) + \left(3 - 7i\right)$, follow these steps:

1. Add the real parts:
   $-5 + 3 = -2$

2. Add the imaginary parts:
   $2i + (-7i) = -5i$

So, the result is: $\left(-5 + 2i\right) + \left(3 - 7i\right) = -2 - 5i$

Would you like further details or have any questions?

Here are 5 related questions to practice:

1. $\left(4 + 6i\right) + \left(-2 + 3i\right)$
2. $\left(1 - i\right) + \left(3 + 2i\right)$
3. $\left(-7 + 5i\right) - \left(2 - 3i\right)$
4. $\left(6 - 8i\right) + \left(-4 + 9i\right)$
5. $\left(2 + i\right) + \left(-1 - 6i\right)$

Tip: When adding or subtracting complex numbers, always handle the real and imaginary parts separately.