Question

1. -4(x - 9) = 32

Explanation:

Step1: Divide both sides by -4

To isolate the term with \(x\), we divide both sides of the equation \(-4(x - 9)=32\) by \(-4\).

$$ \frac{-4(x - 9)}{-4}=\frac{32}{-4} $$

Simplifying both sides, we get \(x - 9=-8\).

Step2: Add 9 to both sides

To solve for \(x\), we add 9 to both sides of the equation \(x - 9=-8\).

$$ x - 9 + 9=-8 + 9 $$

Simplifying both sides, we find \(x = 1\).

Answer:

\(x = 1\)