To simplify the expression $(-3 + i) - (1 + 10i)$ into the form $a + bi$:

1. Distribute the negative sign: $(-3 + i) - 1 - 10i = -3 + i - 1 - 10i$

2. Combine the real parts $(-3$ and $-1)$ and the imaginary parts $(i$ and $-10i)$: $(-3 - 1) + (i - 10i) = -4 - 9i$

Thus, the expression simplifies to: $-4 - 9i$

This is in the form $a + bi$, where $a = -4$ and $b = -9$.

Would you like further details or have any questions?

Here are five related questions to explore this concept further:

1. How do you add or subtract two complex numbers?
2. What happens if you multiply two complex numbers instead of adding them?
3. How do you calculate the magnitude of a complex number?
4. What is the geometric interpretation of complex numbers in the complex plane?
5. How do you convert a complex number from rectangular form to polar form?

Tip: Always group the real and imaginary parts separately when simplifying expressions with complex numbers.