Final answer:
To simplify the linear expression -4x+5(-5x-1), distribute the 5 into the parentheses resulting in -25x - 5. Combine like terms to get -29x - 5, which is the simplified expression.
Step-by-step explanation:
To simplify the linear expression -4x+5(-5x-1), we need to distribute the 5 into the parentheses and then combine like terms. First, we multiply 5 by -5x and then 5 by -1.
5 × -5x = -25x
5 × -1 = -5
Now, we can rewrite the expression without parentheses:
-4x - 25x - 5
We combine the x terms:
-4x - 25x = -29x
The expression now simplifies to:
-29x - 5
To ensure our solution is reasonable, we verify that all terms have been combined correctly and that there are no further simplifications possible.