To solve for \( x \) in the equation \( 13x + 26 = 3x - 34 \), follow these steps:
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Isolate the variable \( x \): First, we can move all terms involving \( x \) to one side and constant terms to the other side.
Subtract \( 3x \) from both sides: \[ 13x - 3x + 26 = -34 \] This simplifies to: \[ 10x + 26 = -34 \]
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Continue isolating \( x \): Now, subtract \( 26 \) from both sides: \[ 10x = -34 - 26 \] Simplifying the right-hand side gives: \[ 10x = -60 \]
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Solve for \( x \): Finally, divide both sides by \( 10 \): \[ x = \frac{-60}{10} \] \[ x = -6 \]
Thus, the solution is: \[ \boxed{-6} \]
The correct responses are \( x = -6 \) and \( x \) equals negative 6.
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