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6.9x+4.3=-4.7x+8
We move all terms to the left:
6.9x+4.3-(-4.7x+8)=0
We get rid of parentheses
6.9x+4.7x-8+4.3=0
We add all the numbers together, and all the variables
11.6x-3.7=0
We move all terms containing x to the left, all other terms to the right
11.6x=3.7
x=3.7/11.6
x=2.1764705882353/6.8235294117647
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