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4.6x+46.2=16.8-10.1x
We move all terms to the left:
4.6x+46.2-(16.8-10.1x)=0
We add all the numbers together, and all the variables
4.6x-(-10.1x+16.8)+46.2=0
We get rid of parentheses
4.6x+10.1x-16.8+46.2=0
We add all the numbers together, and all the variables
14.7x+29.4=0
We move all terms containing x to the left, all other terms to the right
14.7x=-29.4
x=-29.4/14.7
x=-2
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