Questions: Solve for x.

Solve for x.
Transcript text: Solve for x .
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Solution

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Solution Steps

Step 1: Identify the relationship between the angles

The given angles are vertical angles, which means they are equal. Therefore, we can set up the equation: \[ 12x + 3 = 13x + 2 \]

Step 2: Isolate the variable term

Subtract \( 12x \) from both sides of the equation to isolate the variable term on one side: \[ 12x + 3 - 12x = 13x + 2 - 12x \] \[ 3 = x + 2 \]

Step 3: Solve for \( x \)

Subtract 2 from both sides to solve for \( x \): \[ 3 - 2 = x + 2 - 2 \] \[ 1 = x \]

Final Answer

\[ x = 1 \]

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