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Simplifying 12x + -31y = 44x + 22y + 3 Reorder the terms: 12x + -31y = 3 + 44x + 22y Solving 12x + -31y = 3 + 44x + 22y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 12x + -44x + -31y = 3 + 44x + -44x + 22y Combine like terms: 12x + -44x = -32x -32x + -31y = 3 + 44x + -44x + 22y Combine like terms: 44x + -44x = 0 -32x + -31y = 3 + 0 + 22y -32x + -31y = 3 + 22y Add '31y' to each side of the equation. -32x + -31y + 31y = 3 + 22y + 31y Combine like terms: -31y + 31y = 0 -32x + 0 = 3 + 22y + 31y -32x = 3 + 22y + 31y Combine like terms: 22y + 31y = 53y -32x = 3 + 53y Divide each side by '-32'. x = -0.09375 + -1.65625y Simplifying x = -0.09375 + -1.65625y
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