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Simplifying 3(x + 2y) = 4(y + -1x) (x * 3 + 2y * 3) = 4(y + -1x) (3x + 6y) = 4(y + -1x) Reorder the terms: 3x + 6y = 4(-1x + y) 3x + 6y = (-1x * 4 + y * 4) 3x + 6y = (-4x + 4y) Solving 3x + 6y = -4x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3x + 4x + 6y = -4x + 4x + 4y Combine like terms: 3x + 4x = 7x 7x + 6y = -4x + 4x + 4y Combine like terms: -4x + 4x = 0 7x + 6y = 0 + 4y 7x + 6y = 4y Add '-6y' to each side of the equation. 7x + 6y + -6y = 4y + -6y Combine like terms: 6y + -6y = 0 7x + 0 = 4y + -6y 7x = 4y + -6y Combine like terms: 4y + -6y = -2y 7x = -2y Divide each side by '7'. x = -0.2857142857y Simplifying x = -0.2857142857y
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