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x(x+1)-(x-2)(x-3)=6
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x(x+1)-(x-2)(x-3)=6
=> x²+x-(x²-2x-3x+6)=6
=> x²+x-x²+5x-6=6
=> 6x-6=6
=> 6x=6+6
=> x=12/6=2
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