\(\frac{2}{x - 1} + \frac{8}{2x - 2} = 7\)
\(\frac{2}{x - 1} + \frac{2(4)}{2(x) - 2(1)} = 7\)
\(\frac{2}{x - 1} + \frac{2(4)}{2(x - 1)} = 7\)
\(\frac{2}{x - 1} + \frac{4}{x - 1} = 7\)
\(\frac{2 + 4}{x - 1} = 7\)
\(\frac{6}{x - 1} = 7\)
\(7(x - 1) = 6\)
\(7(x) - 7(1) = 6\)
\(7x - 7 = 6\)
\(7x = 13\)
\(\frac{7x}{7} = \frac{13}{7}\)
\(x = 1\frac{6}{7}\)
