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Simplifying 5x + -2y = 4y + 3x + 6 Reorder the terms: 5x + -2y = 6 + 3x + 4y Solving 5x + -2y = 6 + 3x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5x + -3x + -2y = 6 + 3x + -3x + 4y Combine like terms: 5x + -3x = 2x 2x + -2y = 6 + 3x + -3x + 4y Combine like terms: 3x + -3x = 0 2x + -2y = 6 + 0 + 4y 2x + -2y = 6 + 4y Add '2y' to each side of the equation. 2x + -2y + 2y = 6 + 4y + 2y Combine like terms: -2y + 2y = 0 2x + 0 = 6 + 4y + 2y 2x = 6 + 4y + 2y Combine like terms: 4y + 2y = 6y 2x = 6 + 6y Divide each side by '2'. x = 3 + 3y Simplifying x = 3 + 3y
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