Step 1. Simplify 6 - 4(-x-9)-5 to -4(-x-9) + 1
4 - 5(2x + 11) + 6x = -4(-x-9) + 1
Step 2. Expand
4 - 10x - 55 + 6x = 4x + 36 + 1
Step 3. Simplify 4 - 10x - 55 + 6x to -51 - 4x
-51 - 4x = 4x + 36 + 1
Step 4. Simplify 4x + 36 + 1 to 4x + 37
-51 - 4x = 4x + 37
Step 5. Add 51 to both sides
-4x = 4x + 37 + 51
Step 6. Simplify 4x + 37 + 51 to 4x + 88
-4x = 4x + 88
Step 7. Subtract 4x from both sides
-4x - 4x = 88
Step 8. Simplify -4x - 4x to -8x
x = -88/8
Step 10. Simplify 88/8 to 11
x = -11