Let's simplify the expression step by step:
First, simplify the terms inside the parentheses:(6-x) = 6 - x(-x-3) = -x - 3(5x-1) = 5x - 1
Now substitute these simplified values back into the expression:(6 - x) - 2(-x - 3) + 0.9(5x - 1)
Now distribute the coefficients:6 - x - 2(-x) - 2(-3) + 0.9(5x) - 0.9(1)
Simplify further:6 - x + 2x + 6 + 4.5x - 0.9
Combine like terms:(2x + 4.5x) = 6.5x,(6 + 6) = 12(-x - 0.9) = -x - 0.9
Combine all terms:6.5x + 12 - x - 0.9
Combine x terms:6.5x - x = 5.5x
Finally, combine all terms to get the simplified expression:5.5x + 12 - 0.9
Therefore, the simplified expression is:5.5x + 11.1.
Let's simplify the expression step by step:
First, simplify the terms inside the parentheses:
(6-x) = 6 - x
(-x-3) = -x - 3
(5x-1) = 5x - 1
Now substitute these simplified values back into the expression:
(6 - x) - 2(-x - 3) + 0.9(5x - 1)
Now distribute the coefficients:
6 - x - 2(-x) - 2(-3) + 0.9(5x) - 0.9(1)
Simplify further:
6 - x + 2x + 6 + 4.5x - 0.9
Combine like terms:
(2x + 4.5x) = 6.5x,
(6 + 6) = 12
(-x - 0.9) = -x - 0.9
Combine all terms:
6.5x + 12 - x - 0.9
Combine x terms:
6.5x - x = 5.5x
Finally, combine all terms to get the simplified expression:
5.5x + 12 - 0.9
Therefore, the simplified expression is:
5.5x + 11.1.