Let's solve the equation step by step.
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Start with the equation: \[ 5x + 13 = -12 \]
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To isolate \(5x\), subtract 13 from both sides: \[ 5x = -12 - 13 \]
Now, calculate the right side: \[ -12 - 13 = -25 \]
So, we have: \[ 5x = -25 \]
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Now, divide both sides of the equation by 5: \[ x = \frac{-25}{5} \]
Calculate the division: \[ \frac{-25}{5} = -5 \]
Thus, the completed solution is:
- \( 5x = -25 \)
- \( x = -5 \)
The final answer is:
- \( 5x = -25 \)
- \( x = -5 \)