To make the equation have no solution, we need to create a contradiction. One way to do this is to create a situation where the variable disappears, leaving a true statement equaling a false statement.
In this case, if we distribute the negative sign to "-7x" and "-12", the equation becomes:
-7x - 12 = -1x + 12
To eliminate the variable, we can add "7x" to both sides of the equation:
-7x + 7x - 12 = -1x + 7x + 12
This simplifies to:
-12 = 6x + 12
Next, we can subtract "12" from both sides:
-12 - 12 = 6x + 12 - 12
This simplifies to:
-24 = 6x
Finally, we can divide both sides by "6" to solve for "x":
-24/6 = 6x/6
This simplifies to:
-4 = x
So, the complete equation that has no solution is:
-7x - 12 = -x + 12
Complete the equation so that it has no solution.
−7x−12= _ x+12
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