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Simplifying 2x + 4y = 3y + -6x Reorder the terms: 2x + 4y = -6x + 3y Solving 2x + 4y = -6x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2x + 6x + 4y = -6x + 6x + 3y Combine like terms: 2x + 6x = 8x 8x + 4y = -6x + 6x + 3y Combine like terms: -6x + 6x = 0 8x + 4y = 0 + 3y 8x + 4y = 3y Add '-4y' to each side of the equation. 8x + 4y + -4y = 3y + -4y Combine like terms: 4y + -4y = 0 8x + 0 = 3y + -4y 8x = 3y + -4y Combine like terms: 3y + -4y = -1y 8x = -1y Divide each side by '8'. x = -0.125y Simplifying x = -0.125y
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