what is the solution to -2|2.2x - 3.3| = -6.6?\no x = -3\no x = 3\no x = -3 or x = 0\no x = 0 or x = 3

Explanation:

Step1: Isolate the absolute - value expression

Divide both sides of the equation $-2|2.2x - 3.3|=-6.6$ by $- 2$. $|2.2x - 3.3|=\frac{-6.6}{-2}=3.3$

Step2: Set up two equations

Since $|a| = b$ ($b\geq0$) is equivalent to $a = b$ or $a=-b$, we have: Equation 1: $2.2x-3.3 = 3.3$ Add $3.3$ to both sides: $2.2x=3.3 + 3.3=6.6$ Divide both sides by $2.2$: $x=\frac{6.6}{2.2}=3$ Equation 2: $2.2x-3.3=-3.3$ Add $3.3$ to both sides: $2.2x=-3.3 + 3.3 = 0$ Divide both sides by $2.2$: $x = 0$

Answer:

D. $x = 0$ or $x = 3$