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4\left(3-4x\right)+3\left(4+3\right)=12
Multiply both sides of the equation by 12, the least common multiple of 3,4.
12-16x+3\left(4+3\right)=12
Use the distributive property to multiply 4 by 3-4x.
12-16x+3\times 7=12
Add 4 and 3 to get 7.
12-16x+21=12
Multiply 3 and 7 to get 21.
33-16x=12
Add 12 and 21 to get 33.
-16x=12-33
Subtract 33 from both sides.
-16x=-21
Subtract 33 from 12 to get -21.
x=\frac{-21}{-16}
Divide both sides by -16.
x=\frac{21}{16}
Fraction \frac{-21}{-16} can be simplified to \frac{21}{16} by removing the negative sign from both the numerator and the denominator.