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Let's denote the price of Mira's breakfast before tip as $x.
We know that the tip is 20% of the price before tip, so we have the equation:
0.2x = $1.80
To find x, we can divide both sides of the equation by 0.2:
x = $1.80 / 0.2
x = $9
Therefore, the price of Mira's breakfast before tip is $9. Answer: \boxed{9}.