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0.294118+8(0.478261x-0.72043)+67x-(13/3)*(0.465347x-0.560976)=7
We simplify the equation to the form, which is simple to understand
0.294118+8(0.478261x-0.72043)+67x-(13/3)*(0.465347x-0.560976)=7
Simplifying:
0.294118+8*(0.478261x-0.72043)+67x-(+4.33333333333)*(0.465347x-0.560976)=7
Reorder the terms in parentheses
0.294118+(+3.826088x-5.76344)+67x-(+4.33333333333)*(0.465347x-0.560976)=7
Remove unnecessary parentheses
+ 0.294118+3.826088x-5.76344+67x-(+4.33333333333+)+*( + 0.465347x-0.560976+)=+7
Reorder the terms in parentheses
multiplication of parentheses
0.294118+3.826088x-5.76344+67x-(+2.01650366667x-2.430896)=7
Remove unnecessary parentheses
0.294118+3.826088x-5.76344+67x-2.01650366667x+2.430896=7
We move all terms containing x to the left and all other terms to the right.
+3.826088x+67x-2.01650366667x=+7-0.294118+5.76344-2.430896
We simplify left and right side of the equation.
+68.8095843333x=+10.038426
We divide both sides of the equation by 68.8095843333 to get x.
x=0.145887031542
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