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Simplifying 2y + 3x = 4x + -4y Reorder the terms: 3x + 2y = 4x + -4y Solving 3x + 2y = 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 + 2y = 4x + -4x + -4y Combine like terms: 3x + -4x = -1x -1x + 2y = 4x + -4x + -4y Combine like terms: 4x + -4x = 0 -1x + 2y = 0 + -4y -1x + 2y = -4y Add '-2y' to each side of the equation. -1x + 2y + -2y = -4y + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = -4y + -2y -1x = -4y + -2y Combine like terms: -4y + -2y = -6y -1x = -6y Divide each side by '-1'. x = 6y Simplifying x = 6y
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