In the floating city of Veritas-Algebra, there was a strict law: every citizen must pass the Trial of the Single Variable to earn their adult sigil. The problem was that the trial had changed. No longer were there simple equations like (2x + 3 = 7). The new Arch-Mathemagician, a stern woman named Prime, had introduced .

From (-x + 8 = 2 - x):

[ \frac{2(x + 3)}{5} - \frac{x - 1}{2} = \frac{3x + 4}{10} + 1 ]

[ 5x - 2(3x - 4) = 8 - (x + 6) ]

[ 12 \cdot \frac{2x - 1}{3} + 12 \cdot \frac{x}{4} = 12 \cdot \frac{5x + 2}{6} ]

Left: (-x + x + 8 = 8) Right: (2 - x + x = 2)