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4\left(2\times 2+1\right)x+1=2
Multiply both sides of the equation by 8, the least common multiple of 2,8,4.
4\left(4+1\right)x+1=2
Multiply 2 and 2 to get 4.
4\times 5x+1=2
Add 4 and 1 to get 5.
20x+1=2
Multiply 4 and 5 to get 20.
20x=2-1
Subtract 1 from both sides.
20x=1
Subtract 1 from 2 to get 1.
x=\frac{1}{20}
Divide both sides by 20.