1. The problem states that \(\overline{MT} \cong \overline{KD}\), meaning the lengths of segments MT and KD are equal. 2. Given \(MT = x + 7\) cm and \(KD = 14\) cm, set the expressions equal because the segments are congruent: $$x + 7 = 14$$ 3. Solve for \(x\): $$x = 14 - 7$$ $$x = 7$$ 4. Therefore, the value of \(x\) is \(7\) cm.