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Simplifying 5x + -4y = 3y + -2x Reorder the terms: 5x + -4y = -2x + 3y Solving 5x + -4y = -2x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5x + 2x + -4y = -2x + 2x + 3y Combine like terms: 5x + 2x = 7x 7x + -4y = -2x + 2x + 3y Combine like terms: -2x + 2x = 0 7x + -4y = 0 + 3y 7x + -4y = 3y Add '4y' to each side of the equation. 7x + -4y + 4y = 3y + 4y Combine like terms: -4y + 4y = 0 7x + 0 = 3y + 4y 7x = 3y + 4y Combine like terms: 3y + 4y = 7y 7x = 7y Divide each side by '7'. x = y Simplifying x = y
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