To solve the equation [tex]\(-0.45x + 0.33 = -0.66\)[/tex], we first need to isolate the variable [tex]\(x\)[/tex]. Let's go through the steps:
1. Subtract [tex]\(0.33\)[/tex] from both sides of the equation:
[tex]\[-0.45x + 0.33 - 0.33 = -0.66 - 0.33\][/tex]
2. Simplify the equation:
[tex]\[-0.45x = -0.99\][/tex]
3. Now, we need to solve for [tex]\(x\)[/tex]. Divide both sides of the equation by [tex]\(-0.45\)[/tex]:
[tex]\[x = \frac{-0.99}{-0.45}\][/tex]
4. Simplify the fraction:
[tex]\[x = 2.2\][/tex]
Therefore, the solution to the equation [tex]\(-0.45x + 0.33 = -0.66\)[/tex] is [tex]\(\boxed{x = 2.2}\)[/tex].
