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2x+3\left(-x\right)+9=6
Use the distributive property to multiply 3 by -x+3.
2x+3\left(-x\right)=6-9
Subtract 9 from both sides.
2x+3\left(-x\right)=-3
Subtract 9 from 6 to get -3.
2x-3x=-3
Multiply 3 and -1 to get -3.
-x=-3
Combine 2x and -3x to get -x.
x=3
Multiply both sides by -1.