question\nsolve for ( x ):\n( -6x = -(x - 9) + 1 )

Explanation:

Step1: Expand the right - hand side

$$ \begin{align*} -6x&=-(x - 9)+1\ -6x&=-x + 9+1 \end{align*} $$

Step2: Simplify the right - hand side

$$-6x=-x + 10$$

Step3: Add (x) to both sides

$$ \begin{align*} -6x+x&=-x + 10+x\ -5x&=10 \end{align*} $$

Step4: Divide both sides by (-5)

$$ \begin{align*} x&=\frac{10}{-5}\ x&=- 2 \end{align*} $$

Answer:

(x = - 2)