Hi there!
![\large\boxed{x = 9}](https://img.qammunity.org/2021/formulas/mathematics/high-school/rlh6t4iup24rb87ghkelxs4qibkmkk7g64.png)
Both bases have an angle measure of 55°, so the triangle is isosceles.
An isosceles triangle has a different base while the remaining two side-lengths are equal, therefore:
x + 18 = 3x
Subtract x from both sides:
18 = 2x
Divide both sides by 2:
9 = x
Therefore, x = 9.