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-4.7x+8.9=-6.4x+7.03
We move all terms to the left:
-4.7x+8.9-(-6.4x+7.03)=0
We get rid of parentheses
-4.7x+6.4x-7.03+8.9=0
We add all the numbers together, and all the variables
1.7x+1.87=0
We move all terms containing x to the left, all other terms to the right
1.7x=-1.87
x=-1.87/1.7
x=-1+0.17/1.7
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