To find the value of \( x \) in the given problem involving supplementary angles, we will follow the steps you outlined.
Step 1: Write out an equation that will solve for \( x \)
Since the angles are supplementary, they add up to 180 degrees. We can set up the following equation:
\[ 149 + (13x + 5) = 180 \]
Step 2: Show each step for solving for \( x \) using inverse operations
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Combine like terms: \[ 149 + 13x + 5 = 180 \] \[ 154 + 13x = 180 \]
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Subtract 154 from both sides: \[ 13x = 180 - 154 \] \[ 13x = 26 \]
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Divide by 13: \[ x = \frac{26}{13} \] \[ x = 2 \]
Step 3: Circle your final answer for \( x \)
\[ \boxed{2} \]
This is the final answer for \( x \).