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what is the value of x? -3 1 13 3

Question

what is the value of x? -3 1 13 3

Explanation:

Step1: Identify triangle type

Since $\angle B = \angle C$, triangle \(ABC\) is isosceles with \(AB = AC\).
So, \(6x - 3 = 3x + 6\).

Step2: Solve for \(x\)

Subtract \(3x\) from both sides: \(6x - 3x - 3 = 6\)
Simplify: \(3x - 3 = 6\)
Add 3 to both sides: \(3x = 6 + 3\)
Simplify: \(3x = 9\)
Divide by 3: \(x = \frac{9}{3} = 3\)

Answer:

\(x = 3\) (corresponding to the option "3")