To solve the equation \( 53x - 4 = -9 \), we can follow these steps:
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Add 4 to both sides to isolate the term with x: \[ 53x - 4 + 4 = -9 + 4 \] This simplifies to: \[ 53x = -5 \]
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Divide both sides by 53 to solve for x: \[ x = \frac{-5}{53} \]
Since none of the provided options match \( \frac{-5}{53} \), it appears there may have been an error in the options given. The correct answer is:
\[ x = \frac{-5}{53} \]
None of the responses \( x = -3, x = 5, x = 3, x = -5 \) are correct.