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Simplifying 2x + 3y = 2y + -5x + 10 Reorder the terms: 2x + 3y = 10 + -5x + 2y Solving 2x + 3y = 10 + -5x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2x + 5x + 3y = 10 + -5x + 5x + 2y Combine like terms: 2x + 5x = 7x 7x + 3y = 10 + -5x + 5x + 2y Combine like terms: -5x + 5x = 0 7x + 3y = 10 + 0 + 2y 7x + 3y = 10 + 2y Add '-3y' to each side of the equation. 7x + 3y + -3y = 10 + 2y + -3y Combine like terms: 3y + -3y = 0 7x + 0 = 10 + 2y + -3y 7x = 10 + 2y + -3y Combine like terms: 2y + -3y = -1y 7x = 10 + -1y Divide each side by '7'. x = 1.428571429 + -0.1428571429y Simplifying x = 1.428571429 + -0.1428571429y
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