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To make the equation have no solution, we need to make sure both sides of the equation are not equal.
First, let's simplify both sides of the equation:
5x + 12 = _x + 9
To remove the variable on the right side of the equation, we need to subtract x from both sides:
5x + 12 - x = 9
Simplifying further:
4x + 12 = 9
Now, if we want no solution, we need these two sides to be unequal.
To make them unequal, let's subtract 3 from both sides of the equation:
4x + 12 - 3 = 9 - 3
4x + 9 = 6
Now, the two sides of the equation are unequal, and the equation has no solution.