To find the value of \( x \) that completes the set of equations \( 153x - 9 - 4 = 12 \), we need to solve for \( x \).
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Simplify the equation: \[ 153x - 9 - 4 = 12 \] Combine like terms: \[ 153x - 13 = 12 \]
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Add 13 to both sides of the equation: \[ 153x = 12 + 13 \] \[ 153x = 25 \]
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Divide both sides by 153: \[ x = \frac{25}{153} \]
Lastly, we note that \( x \neq 0 \) (it can't be zero because dividing by zero is undefined), but since the calculated value \( \frac{25}{153} \) is not zero, it satisfies the condition \( x \neq 0 \).
Thus, the value that completes the set of equations is: \[ \frac{25}{153} \]
In conclusion, the answer you are looking for is: \[ x = \frac{25}{153} \] with \( x \neq 0 \).
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