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Simplifying 2x + 6y = 4y + -3x Reorder the terms: 2x + 6y = -3x + 4y Solving 2x + 6y = -3x + 4y 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 + 4y Combine like terms: 2x + 3x = 5x 5x + 6y = -3x + 3x + 4y Combine like terms: -3x + 3x = 0 5x + 6y = 0 + 4y 5x + 6y = 4y Add '-6y' to each side of the equation. 5x + 6y + -6y = 4y + -6y Combine like terms: 6y + -6y = 0 5x + 0 = 4y + -6y 5x = 4y + -6y Combine like terms: 4y + -6y = -2y 5x = -2y Divide each side by '5'. x = -0.4y Simplifying x = -0.4y
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