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3x+1+2(1+2x)=5(1-x)+4(x+1)
We simplify the equation to the form, which is simple to understand
3x+1+2(1+2x)=5(1-x)+4(x+1)
Reorder the terms in parentheses
3x+1+(+2+4x)=5*(1-x)+4*(x+1)
Remove unnecessary parentheses
+3x+1+2+4x=+5+*(+1-x+)+4+*(+x+1+)
Reorder the terms in parentheses
3x+1+2+4x=+(+5-5x)+4*(x+1)
Remove unnecessary parentheses
+3x+1+2+4x=+5-5x+4+*(+x+1+)
Reorder the terms in parentheses
3x+1+2+4x=+5-5x+(+4x+4)
Remove unnecessary parentheses
+3x+1+2+4x=+5-5x+4x+4
We move all terms containing x to the left and all other terms to the right.
+3x+4x+5x-4x=+5+4-1-2
We simplify left and right side of the equation.
+8x=+6
We divide both sides of the equation by 8 to get x.
x=0.75
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