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10x+25(46-x)=670
We simplify the equation to the form, which is simple to understand
10x+25(46-x)=670
Reorder the terms in parentheses
10x+(+1150-25x)=670
Remove unnecessary parentheses
+10x+1150-25x=+670
We move all terms containing x to the left and all other terms to the right.
+10x-25x=+670-1150
We simplify left and right side of the equation.
-15x=-480
We divide both sides of the equation by -15 to get x.
x=32
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