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2x-\left(-11x-\left(5x-6\right)\times 11\right)=2
Combine 3x and -14x to get -11x.
2x-\left(-11x-\left(55x-66\right)\right)=2
Use the distributive property to multiply 5x-6 by 11.
2x-\left(-11x-55x-\left(-66\right)\right)=2
To find the opposite of 55x-66, find the opposite of each term.
2x-\left(-11x-55x+66\right)=2
The opposite of -66 is 66.
2x-\left(-66x+66\right)=2
Combine -11x and -55x to get -66x.
2x-\left(-66x\right)-66=2
To find the opposite of -66x+66, find the opposite of each term.
2x+66x-66=2
The opposite of -66x is 66x.
68x-66=2
Combine 2x and 66x to get 68x.
68x=2+66
Add 66 to both sides.
68x=68
Add 2 and 66 to get 68.
x=\frac{68}{68}
Divide both sides by 68.
x=1
Divide 68 by 68 to get 1.