Let's solve the equation step by step:
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Start with the equation: \[ -3x - 9 = -21 \]
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To isolate the term with x, add 9 to both sides: \[ -3x = -21 + 9 \]
So, calculating the right side: \[ -3x = -12 \]
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Now, we divide both sides by -3 to solve for x: \[ x = \frac{-12}{-3} \]
Which simplifies to: \[ x = 4 \]
Putting it all together, the completed responses for your blanks are:
- -3x = -12, after adding 9 to both sides
- x = 4, after dividing both sides by -3.