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1-2\left(2x-1\right)=7x
Multiply both sides of the equation by 14, the least common multiple of 14,7,2.
1-4x+2=7x
Use the distributive property to multiply -2 by 2x-1.
3-4x=7x
Add 1 and 2 to get 3.
3-4x-7x=0
Subtract 7x from both sides.
3-11x=0
Combine -4x and -7x to get -11x.
-11x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{-11}
Divide both sides by -11.
x=\frac{3}{11}
Fraction \frac{-3}{-11} can be simplified to \frac{3}{11} by removing the negative sign from both the numerator and the denominator.