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If KL = 3x + 2 and KM = 14 cm, then what is the value of x?

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To find the value of \( x \), we need to set the expression for \( KL \) equal to the length of \( KM \).

Given: \[ KL = 3x + 2 \] \[ KM = 14 \text{ cm} \]

We can set up the equation: \[ 3x + 2 = 14 \]

Now, we will solve for \( x \).

  1. Subtract 2 from both sides: \[ 3x = 14 - 2 \] \[ 3x = 12 \]

  2. Divide both sides by 3: \[ x = \frac{12}{3} \] \[ x = 4 \]

Thus, the value of \( x \) is \( \boxed{4} \).