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x-2x+4x-8x-16x=16
Multiply both sides of the equation by 16, the least common multiple of 16,8,4,2.
-x+4x-8x-16x=16
Combine x and -2x to get -x.
3x-8x-16x=16
Combine -x and 4x to get 3x.
-5x-16x=16
Combine 3x and -8x to get -5x.
-21x=16
Combine -5x and -16x to get -21x.
x=\frac{16}{-21}
Divide both sides by -21.
x=-\frac{16}{21}
Fraction \frac{16}{-21} can be rewritten as -\frac{16}{21} by extracting the negative sign.