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To solve for x, we can start by isolating the variable on one side of the equation:
.11/4x + 9 = 31
Subtracting 9 from both sides:
.11/4x = 31 - 9
.11/4x = 22
Next, to get rid of the fraction, multiply both sides by 4:
.11x = 88
Finally, divide both sides by .11:
x = 88/.11
x = 800
So the solution is x = 800.