Final answer:
To simplify the expression 9x + 1/3(-12 - 27x) - 33.2 when x = -3, we substitute x, perform the operations, and obtain -37.2 as the simplified result.
Step-by-step explanation:
To find the simplified expression for 9x + 1/3(-12 - 27x) - 33.2 when x = -3, we will substitute -3 for x and then perform the operations step by step.
First, we simplify within the parentheses:
(-12 - 27(-3))
Now, we multiply -27 by -3:
(-12 + 81)
Adding the numbers inside the parentheses gives us 69, so we have:
9(-3) + 1/3(69) - 33.2
Continuing with the calculation:
-27 + 23 - 33.2
Finally, combine the like terms:
-27 + 23 - 33.2 = -37.2