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x-2-(x-3)+(4-x)+5+(x-6)-(7-x)=-2
We simplify the equation to the form, which is simple to understand
x-2-(x-3)+(4-x)+5+(x-6)-(7-x)=-2
Remove unnecessary parentheses
x-2-1x+3+(4-x)+5+(x-6)-(7-x)=-2
Remove unnecessary parentheses
+x-2-1x+3+4-x+5+(+x-6+)-(+7-x+)=-2
Remove unnecessary parentheses
+x-2-1x+3+4-x+5+x-6-(+7-x+)=-2
Remove unnecessary parentheses
x-2-1x+34-x+5x-6-7+1x=-2
We move all terms containing x to the left and all other terms to the right.
+1x-1x-1x+1x+1x=-2+2-3-4-5+6+7
We simplify left and right side of the equation.
+1x=+1
We divide both sides of the equation by 1 to get x.
x=1
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