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3\left(1-3x\right)+4\left(2x+3\right)=12
Multiply both sides of the equation by 12, the least common multiple of 4,3.
3-9x+4\left(2x+3\right)=12
Use the distributive property to multiply 3 by 1-3x.
3-9x+8x+12=12
Use the distributive property to multiply 4 by 2x+3.
3-x+12=12
Combine -9x and 8x to get -x.
15-x=12
Add 3 and 12 to get 15.
-x=12-15
Subtract 15 from both sides.
-x=-3
Subtract 15 from 12 to get -3.
x=3
Multiply both sides by -1.