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7+7.7+7.77+77.777=x
We move all terms to the left:
7+7.7+7.77+77.777-(x)=0
We add all the numbers together, and all the variables
-1x+100.247=0
We move all terms containing x to the left, all other terms to the right
-x=-100.247
x=-100.247/-1
x=100+0.247/1
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