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question
given $g(x) = -3x - 3$, solve for $x$ when $g(x) = 0$.
Step1: Substitute \( g(x) \) with 0
We know \( g(x) = -3x - 3 \) and \( g(x) = 0 \), so we set up the equation \( 0 = -3x - 3 \).
Step2: Add 3 to both sides
To isolate the term with \( x \), we add 3 to both sides of the equation: \( 0 + 3 = -3x - 3 + 3 \), which simplifies to \( 3 = -3x \).
Step3: Divide both sides by -3
To solve for \( x \), we divide both sides of the equation \( 3 = -3x \) by -3: \( \frac{3}{-3} = \frac{-3x}{-3} \), which gives \( x = -1 \).
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\( x = -1 \)