To solve the equation \( 5x - 6 = -403 \), follow these steps:
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Add 6 to both sides of the equation: \[ 5x - 6 + 6 = -403 + 6 \] This simplifies to: \[ 5x = -397 \]
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Divide both sides by 5: \[ x = \frac{-397}{5} \]
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Simplify the fraction if necessary: \[ x = -79.4 \]
So the final answer is: \[ x = -79.4 \]