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\sqrt{3}+2+x=1-\sqrt{2}
Subtract \sqrt{2} from both sides.
2+x=1-\sqrt{2}-\sqrt{3}
Subtract \sqrt{3} from both sides.
x=1-\sqrt{2}-\sqrt{3}-2
Subtract 2 from both sides.
x=-1-\sqrt{2}-\sqrt{3}
Subtract 2 from 1 to get -1.