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In ΔSTU, \overline{SU} SU is extended through point U to point V, \text{m}\angle STU = (3x+14)^{\circ}m∠STU=(3x+14) ∘ , \text{m}\angle UST = (2x+12)^{\circ}m∠UST=(2x+12) ∘ , and \text{m}\angle TUV = (7x+6)^{\circ}m∠TUV=(7x+6) ∘ . What is the value of x?x?

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