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Simplifying 5x + 9y = 3x + -6y + 5 Reorder the terms: 5x + 9y = 5 + 3x + -6y Solving 5x + 9y = 5 + 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. 5x + -3x + 9y = 5 + 3x + -3x + -6y Combine like terms: 5x + -3x = 2x 2x + 9y = 5 + 3x + -3x + -6y Combine like terms: 3x + -3x = 0 2x + 9y = 5 + 0 + -6y 2x + 9y = 5 + -6y Add '-9y' to each side of the equation. 2x + 9y + -9y = 5 + -6y + -9y Combine like terms: 9y + -9y = 0 2x + 0 = 5 + -6y + -9y 2x = 5 + -6y + -9y Combine like terms: -6y + -9y = -15y 2x = 5 + -15y Divide each side by '2'. x = 2.5 + -7.5y Simplifying x = 2.5 + -7.5y
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