Final answer:
The expression -5(x - 3) + 2(a - 9) is simplified to -5x + 2a - 3. The correct answer is not listed in the given options, as there seems to be a typo with the closest option B) -5x + 2a - 33, which should read -3 instead of -33.
Step-by-step explanation:
To simplify the expression -5(x - 3) + 2(a - 9), you distribute each term inside the parentheses by the number outside. This gives you:
-5x + 15 + 2a - 18
Now, combine like terms (the numbers 15 and -18 in this case):
-5x + 2a - 3
So, the simplified expression is -5x + 2a - 3, which corresponds to option B) -5x + 2a - 33. Please note that option B appears to be a typo in your given choices, and it should be -3 instead of -33.