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0.5x+8.4x=1
We move all terms to the left:
0.5x+8.4x-(1)=0
We add all the numbers together, and all the variables
8.9x-1=0
We move all terms containing x to the left, all other terms to the right
8.9x=1
x=1/8.9
x=1/8.9
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