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Simplifying 5x + 6y = 3x + 2 Reorder the terms: 5x + 6y = 2 + 3x Solving 5x + 6y = 2 + 3x 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 + 6y = 2 + 3x + -3x Combine like terms: 5x + -3x = 2x 2x + 6y = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 2x + 6y = 2 + 0 2x + 6y = 2 Add '-6y' to each side of the equation. 2x + 6y + -6y = 2 + -6y Combine like terms: 6y + -6y = 0 2x + 0 = 2 + -6y 2x = 2 + -6y Divide each side by '2'. x = 1 + -3y Simplifying x = 1 + -3y
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