solve the following equation for x. express your answer in the simplest form.\n-6(-2x + 2) = -35x +…

Explanation:

Step1: Expand the left - hand side

Using the distributive property (a(b + c)=ab+ac), we have (-6(-2x + 2)=(-6)\times(-2x)+(-6)\times2 = 12x-12). So the equation becomes (12x-12=-35x + 7).

Step2: Add (35x) to both sides

To get all the (x) terms on one side, we add (35x) to both sides. (12x+35x-12=-35x + 35x+7), which simplifies to (47x-12 = 7).

Step3: Add (12) to both sides

To isolate the term with (x), we add (12) to both sides. (47x-12 + 12=7 + 12), so (47x=19).

Step4: Divide both sides by (47)

To solve for (x), we divide both sides by (47). (x=\frac{19}{47}).

Answer:

(x = \frac{19}{47})