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3x+1=3(x-7)
We simplify the equation to the form, which is simple to understand
3x+1=3(x-7)
Reorder the terms in parentheses
3x+1=+(+3x-21)
Remove unnecessary parentheses
+3x+1=+3x-21
We move all terms containing x to the left and all other terms to the right.
+3x-3x=-21-1
We simplify left and right side of the equation.
0x=-22
0=-22
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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