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Simplifying 2x + y + 3 = -6y + 9 + -3x Reorder the terms: 3 + 2x + y = -6y + 9 + -3x Reorder the terms: 3 + 2x + y = 9 + -3x + -6y Solving 3 + 2x + y = 9 + -3x + -6y 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. 3 + 2x + 3x + y = 9 + -3x + 3x + -6y Combine like terms: 2x + 3x = 5x 3 + 5x + y = 9 + -3x + 3x + -6y Combine like terms: -3x + 3x = 0 3 + 5x + y = 9 + 0 + -6y 3 + 5x + y = 9 + -6y Add '-3' to each side of the equation. 3 + 5x + -3 + y = 9 + -3 + -6y Reorder the terms: 3 + -3 + 5x + y = 9 + -3 + -6y Combine like terms: 3 + -3 = 0 0 + 5x + y = 9 + -3 + -6y 5x + y = 9 + -3 + -6y Combine like terms: 9 + -3 = 6 5x + y = 6 + -6y Add '-1y' to each side of the equation. 5x + y + -1y = 6 + -6y + -1y Combine like terms: y + -1y = 0 5x + 0 = 6 + -6y + -1y 5x = 6 + -6y + -1y Combine like terms: -6y + -1y = -7y 5x = 6 + -7y Divide each side by '5'. x = 1.2 + -1.4y Simplifying x = 1.2 + -1.4y
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