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825=.05(x)+.09(10000-x)
We simplify the equation to the form, which is simple to understand
825=.05(x)+.09(10000-x)
Reorder the terms in parentheses
825=+( + 0.05x)+.09*(10000-x)
Remove unnecessary parentheses
+825=0.05x+.09+*(+10000-x+)
Reorder the terms in parentheses
825=0.05x+(+900-0.09x)
Remove unnecessary parentheses
+825=0.05x+900-0.09x
We move all terms containing x to the left and all other terms to the right.
-0.05x + 0.09x=+900-825
We simplify left and right side of the equation.
+ 0.04x=+75
We divide both sides of the equation by 0.04 to get x.
x=1875
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