Questions: Write and solve an equation to find x.

Write and solve an equation to find x.
Transcript text: Write and solve an equation to find $x$.
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Solution

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Solution Steps

Step 1: Identify the relationship between the angles

In a parallelogram, opposite angles are equal. Therefore, we can set up the equation: \[ 11x + 8 = 13x - 6 \]

Step 2: Solve for \( x \)

First, we need to isolate \( x \). Subtract \( 11x \) from both sides: \[ 8 = 2x - 6 \]

Next, add 6 to both sides: \[ 14 = 2x \]

Finally, divide both sides by 2: \[ x = 7 \]

Final Answer

\[ x = 7 \]

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