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5.26x+1=27.6676+x
We move all terms to the left:
5.26x+1-(27.6676+x)=0
We add all the numbers together, and all the variables
5.26x-(x+27.6676)+1=0
We get rid of parentheses
5.26x-x-27.6676+1=0
We add all the numbers together, and all the variables
4.26x-26.6676=0
We move all terms containing x to the left, all other terms to the right
4.26x=26.6676
x=26.6676/4.26
x=6+1/3.8461538461538
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