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2(2x-7)+2(x+9)=46
We simplify the equation to the form, which is simple to understand
2(2x-7)+2(x+9)=46
Reorder the terms in parentheses
+(+4x-14)+2*(x+9)=46
Remove unnecessary parentheses
+4x-14+2+*(+x+9+)=+46
Reorder the terms in parentheses
+4x-14+(+2x+18)=46
Remove unnecessary parentheses
+4x-14+2x+18=+46
We move all terms containing x to the left and all other terms to the right.
+4x+2x=+46+14-18
We simplify left and right side of the equation.
+6x=+42
We divide both sides of the equation by 6 to get x.
x=7
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