To solve the equation \( 153x - 9 - 4 = 12 \), we will first simplify the left-hand side.
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Combine like terms on the left: \[ 153x - 9 - 4 = 12 \implies 153x - 13 = 12 \]
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Now, isolate the term with \( x \) by adding 13 to both sides: \[ 153x - 13 + 13 = 12 + 13 \implies 153x = 25 \]
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Next, divide both sides by 153 to solve for \( x \): \[ x = \frac{25}{153} \]
So, the value of \( x \) that completes the equation is: \[ x = \frac{25}{153} \]
Given that \( x \) cannot take an infinite set of values (like zero), we can conclude that: \[ x \neq 0 \] Thus the complete value is: \[ x \neq 0 \]