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To solve for x, we first need to simplify the equation by combining like terms on both sides:
-4x - 9 + 6x = 7 + 2x + 3
Combine like terms:
(6x - 4x) - 9 = (2x + 7) + 3
2x - 9 = 2x + 10
Next, we can isolate the variable x by subtracting 2x from both sides of the equation:
2x - 9 - 2x = 2x + 10 - 2x
Simplifying the equation further:
-9 = 10
This equation is not true regardless of the value of x. Hence, there is no solution to this equation.