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0.4166+0.75x=5.6666+.5x
We move all terms to the left:
0.4166+0.75x-(5.6666+.5x)=0
We add all the numbers together, and all the variables
0.75x-(.5x+5.6666)+0.4166=0
We get rid of parentheses
0.75x-.5x-5.6666+0.4166=0
We add all the numbers together, and all the variables
0.25x-5.25=0
We move all terms containing x to the left, all other terms to the right
0.25x=5.25
x=5.25/0.25
x=21
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