Let $x$ and $y$ be integers satisfying $41x + 53y = 12$. Find the residue of $x$ modulo 53. (Express your answer as an integer from 0 to 52.

$$\small{\text{
Let $x$ and $y$ be integers satisfying $41x + 53y = 12$. Find the residue of $x$ modulo 53.
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\small{\text{
(Express your answer as an integer from 0 to 52.)
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$$\small{\text{
If $x=264$ and $y=-204$ then $41x + 53y = 12$.
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\small{\text{
The residue of $x\pmod{ 53 } = 52$.
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