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6.3x-14.6=10.6
We move all terms to the left:
6.3x-14.6-(10.6)=0
We add all the numbers together, and all the variables
6.3x-25.2=0
We move all terms containing x to the left, all other terms to the right
6.3x=25.2
x=25.2/6.3
x=4
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