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1-4x=3x-4
Multiply both sides of the equation by 4.
1-4x-3x=-4
Subtract 3x from both sides.
1-7x=-4
Combine -4x and -3x to get -7x.
-7x=-4-1
Subtract 1 from both sides.
-7x=-5
Subtract 1 from -4 to get -5.
x=\frac{-5}{-7}
Divide both sides by -7.
x=\frac{5}{7}
Fraction \frac{-5}{-7} can be simplified to \frac{5}{7} by removing the negative sign from both the numerator and the denominator.