Let's simplify the expression step by step:
First, simplify the terms inside the parentheses(6-x) = 6 - (-x-3) = -x - (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 coefficients6 - x - 2(-x) - 2(-3) + 0.9(5x) - 0.9(1)
Simplify further6 - x + 2x + 6 + 4.5x - 0.9
Combine like terms(2x + 4.5x) = 6.5x(6 + 6) = 1(-x - 0.9) = -x - 0.9
Combine all terms6.5x + 12 - x - 0.9
Combine x terms6.5x - x = 5.5x
Finally, combine all terms to get the simplified expression5.5x + 12 - 0.9
Therefore, the simplified expression is5.5x + 11.1.
Let's simplify the expression step by step:
First, simplify the terms inside the parentheses
(6-x) = 6 -
(-x-3) = -x -
(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) = 1
(-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.