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Simplifying 2(x + -3y) = 3(y + -1x) (x * 2 + -3y * 2) = 3(y + -1x) (2x + -6y) = 3(y + -1x) Reorder the terms: 2x + -6y = 3(-1x + y) 2x + -6y = (-1x * 3 + y * 3) 2x + -6y = (-3x + 3y) Solving 2x + -6y = -3x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2x + 3x + -6y = -3x + 3x + 3y Combine like terms: 2x + 3x = 5x 5x + -6y = -3x + 3x + 3y Combine like terms: -3x + 3x = 0 5x + -6y = 0 + 3y 5x + -6y = 3y Add '6y' to each side of the equation. 5x + -6y + 6y = 3y + 6y Combine like terms: -6y + 6y = 0 5x + 0 = 3y + 6y 5x = 3y + 6y Combine like terms: 3y + 6y = 9y 5x = 9y Divide each side by '5'. x = 1.8y Simplifying x = 1.8y
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