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Simplifying 3x + -6y = 5x + -15y + 9 Reorder the terms: 3x + -6y = 9 + 5x + -15y Solving 3x + -6y = 9 + 5x + -15y 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. 3x + -5x + -6y = 9 + 5x + -5x + -15y Combine like terms: 3x + -5x = -2x -2x + -6y = 9 + 5x + -5x + -15y Combine like terms: 5x + -5x = 0 -2x + -6y = 9 + 0 + -15y -2x + -6y = 9 + -15y Add '6y' to each side of the equation. -2x + -6y + 6y = 9 + -15y + 6y Combine like terms: -6y + 6y = 0 -2x + 0 = 9 + -15y + 6y -2x = 9 + -15y + 6y Combine like terms: -15y + 6y = -9y -2x = 9 + -9y Divide each side by '-2'. x = -4.5 + 4.5y Simplifying x = -4.5 + 4.5y
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