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0=4\left(-2\right)x+2x-24
Combine 2x and -4x to get -2x.
0=-8x+2x-24
Multiply 4 and -2 to get -8.
0=-6x-24
Combine -8x and 2x to get -6x.
-6x-24=0
Swap sides so that all variable terms are on the left hand side.
-6x=24
Add 24 to both sides. Anything plus zero gives itself.
x=\frac{24}{-6}
Divide both sides by -6.
x=-4
Divide 24 by -6 to get -4.