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1000+600x=500x+850
We move all terms to the left:
1000+600x-(500x+850)=0
We get rid of parentheses
600x-500x-850+1000=0
We add all the numbers together, and all the variables
100x+150=0
We move all terms containing x to the left, all other terms to the right
100x=-150
x=-150/100
x=-1+1/2
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