To solve the equation \( 13x - 1 = 19x - 25 \), we can start by moving all terms involving \( x \) to one side and constant terms to the other side.
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Subtract \( 13x \) from both sides: \[ -1 = 19x - 13x - 25 \] This simplifies to: \[ -1 = 6x - 25 \]
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Next, add 25 to both sides: \[ -1 + 25 = 6x \] This simplifies to: \[ 24 = 6x \]
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Now, divide both sides by 6: \[ x = \frac{24}{6} = 4 \]
Thus, the solution is: \[ \boxed{4} \]
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