Solución 1
\[- (-x - 1) = ( \frac{-1}{2}x - 1 ) + \frac{13}{8}\]
\[x = \boxed{\frac{-1}{4}}\]
Solución 2
\[(x - \frac{4}{3}) = - ( \frac{-3}{4}x + 1 ) - \frac{11}{24}\]
\[x = \boxed{\frac{-1}{2}}\]
Solución 3
\[(2x - 2) = - ( x + \frac{5}{4} ) - \frac{21}{4}\]
\[x = \boxed{\frac{-3}{2}}\]
Solución 4
\[-1 ( x - \frac{1}{2} ) = -4 ( x - 3 ) - \frac{13}{2}\]
\[x = \boxed{\frac{5}{3}}\]
Solución 5
\[-1 ( x + 3 ) = 1 ( x - \frac{5}{2} ) - \frac{5}{2}\]
\[x = \boxed{1}\]
Solución 6
\[1 ( x + 1 ) = -2 ( x + \frac{4}{3} ) + \frac{29}{3}\]
\[x = \boxed{2}\]
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