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-4\times 8x-1=12-3\times 11x
Multiply both sides of the equation by 12, the least common multiple of 3,12,4.
-32x-1=12-3\times 11x
Multiply -4 and 8 to get -32.
-32x-1=12-33x
Multiply -3 and 11 to get -33.
-32x-1+33x=12
Add 33x to both sides.
x-1=12
Combine -32x and 33x to get x.
x=12+1
Add 1 to both sides.
x=13
Add 12 and 1 to get 13.