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Possible example:

2|x| = x2 - 8

For x>=0,

x2 - 2x - 8 = 0

(x-4)(x+2)=0

so x=4 (can't be -2 since x>=0)

For x<0,

x2 + 2x - 8 = 0

(x-2)(x+4)=0

so x=-4 (can't be 2 since x<0)

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Q: How do you solve absolute value equations with x on both sides?
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