Let's solve the equation step by step.
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Start with the equation: \[ 10x + 13 = -12 \]
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Subtract 13 from both sides: \[ 10x = -12 - 13 \] \[ 10x = -25 \]
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Now, divide both sides by 10: \[ x = \frac{-25}{10} \] \[ x = -2.5 \]
So the final solution is: \[ x = -2.5 \]