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Simplifying 6x + 9y = 9x + 6y Solving 6x + 9y = 9x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6x + -9x + 9y = 9x + -9x + 6y Combine like terms: 6x + -9x = -3x -3x + 9y = 9x + -9x + 6y Combine like terms: 9x + -9x = 0 -3x + 9y = 0 + 6y -3x + 9y = 6y Add '-9y' to each side of the equation. -3x + 9y + -9y = 6y + -9y Combine like terms: 9y + -9y = 0 -3x + 0 = 6y + -9y -3x = 6y + -9y Combine like terms: 6y + -9y = -3y -3x = -3y Divide each side by '-3'. x = y Simplifying x = y
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