#### Answer

x = -2/5

#### Work Step by Step

1. Given: 2[-(x - 1) + 4] = 5 + [-(6x - 7) + 9x]
2. Apply Distributive Property: 2[-x + 1 + 4] = 5 + [-6x + 7 + 9x]
-2x + 2 + 8 = 5 - 6x + 7 + 9x
3. Add and subtract: -5x = 2
4. Divide: x = -2/5
5. Check: 2[-(-2/5 - 1) + 4] = 5 + [-(6(-2/5) - 7) + 9(-2/5)]
54/5 = 54/5, so -2/5 is a solution of the equation.