Answer :

To solve the expression

[tex]$$
(-4 \times 7) + (-5 \times 11),
$$[/tex]

follow these steps:

1. First, compute the product of [tex]$-4$[/tex] and [tex]$7$[/tex]:
[tex]$$
-4 \times 7 = -28.
$$[/tex]

2. Next, compute the product of [tex]$-5$[/tex] and [tex]$11$[/tex]:
[tex]$$
-5 \times 11 = -55.
$$[/tex]

3. Finally, add the two results:
[tex]$$
-28 + (-55) = -28 - 55 = -83.
$$[/tex]

Thus, the final answer is [tex]$\boxed{-83}$[/tex].