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Simplifying 3y + 2x = 5y + -2x Reorder the terms: 2x + 3y = 5y + -2x Reorder the terms: 2x + 3y = -2x + 5y Solving 2x + 3y = -2x + 5y 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. 2x + 2x + 3y = -2x + 2x + 5y Combine like terms: 2x + 2x = 4x 4x + 3y = -2x + 2x + 5y Combine like terms: -2x + 2x = 0 4x + 3y = 0 + 5y 4x + 3y = 5y Add '-3y' to each side of the equation. 4x + 3y + -3y = 5y + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 5y + -3y 4x = 5y + -3y Combine like terms: 5y + -3y = 2y 4x = 2y Divide each side by '4'. x = 0.5y Simplifying x = 0.5y
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