To solve the equation \( 13x + 26 = 3x - 34 \), follow these steps:
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Start by isolating the variable terms on one side. Subtract \( 3x \) from both sides:
\[ 13x - 3x + 26 = -34 \]
This simplifies to:
\[ 10x + 26 = -34 \]
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Next, isolate the term with \( x \) by subtracting \( 26 \) from both sides:
\[ 10x = -34 - 26 \]
This simplifies to:
\[ 10x = -60 \]
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Now, divide both sides by \( 10 \) to solve for \( x \):
\[ x = \frac{-60}{10} \]
This results in:
\[ x = -6 \]
So, the solution is \( x = -6 \).