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Simplifying 12x + y = 0.3(12y + x) Reorder the terms: 12x + y = 0.3(x + 12y) 12x + y = (x * 0.3 + 12y * 0.3) 12x + y = (0.3x + 3.6y) Solving 12x + y = 0.3x + 3.6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 12x + -0.3x + y = 0.3x + -0.3x + 3.6y Combine like terms: 12x + -0.3x = 11.7x 11.7x + y = 0.3x + -0.3x + 3.6y Combine like terms: 0.3x + -0.3x = 0.0 11.7x + y = 0.0 + 3.6y 11.7x + y = 3.6y Add '-1y' to each side of the equation. 11.7x + y + -1y = 3.6y + -1y Combine like terms: y + -1y = 0 11.7x + 0 = 3.6y + -1y 11.7x = 3.6y + -1y Combine like terms: 3.6y + -1y = 2.6y 11.7x = 2.6y Divide each side by '11.7'. x = 0.2222222222y Simplifying x = 0.2222222222y
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