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x+19(x-13)-(45+3x)=1099-4(x-172)
We simplify the equation to the form, which is simple to understand
x+19(x-13)-(45+3x)=1099-4(x-172)
Reorder the terms in parentheses
x+(+19x-247)-(45+3x)=1099-4*(x-172)
Remove unnecessary parentheses
+x+19x-247-(+45+3x+)=+1099-4+*(+x-172+)
Remove unnecessary parentheses
x+19x-247-45-3x=1099-4*(x-172)
Reorder the terms in parentheses
x+19x-247-45-3x=1099+(-4x+688)
Remove unnecessary parentheses
+x+19x-247-45-3x=+1099-4x+688
We move all terms containing x to the left and all other terms to the right.
+1x+19x-3x+4x=+1099+688+247+45
We simplify left and right side of the equation.
+21x=+2079
We divide both sides of the equation by 21 to get x.
x=99
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