To solve the equation \( 23(x - 6) = 14 \), follow these steps:
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Distribute the 23: \[ 23x - 138 = 14 \]
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Add 138 to both sides: \[ 23x = 14 + 138 \] \[ 23x = 152 \]
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Divide both sides by 23: \[ x = \frac{152}{23} \] \[ x = 6.6 \text{ (approximately)} \]
Since this result does not match any of the response options you provided, let's check if there was something missed or if a mistake was made.
Unfortunately, none of the presented answer choices (15, -27, -15, 27) include \( 6.6 \).
Please review or clarify the problem statement or the options provided, as it seems that there is an inconsistency. Based on the math solved, \( x \) should be approximately \( 6.6 \).