To solve this expression, we can use the order of operations (PEMDAS/BODMAS).

First, we multiply 19 by 82:
19 × 82 = 1,558

Next, we multiply 18 by 19:
18 × 19 = 342

Finally, we add the two results together:
1,558 + 342 = 1,900

Therefore, 19 × 82 + 18 × 19 equals 1,900.