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x+x/2=0
We simplify the equation to the form, which is simple to understand
x+x/2=0
We move all terms containing x to the left and all other terms to the right.
+1x + 0.5x=0
We simplify left and right side of the equation.
+1.5x=0
We divide both sides of the equation by 1.5 to get x.
x=0
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