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Simplifying 3(x + 2y) = 6x + 9y (x * 3 + 2y * 3) = 6x + 9y (3x + 6y) = 6x + 9y Solving 3x + 6y = 6x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3x + -6x + 6y = 6x + -6x + 9y Combine like terms: 3x + -6x = -3x -3x + 6y = 6x + -6x + 9y Combine like terms: 6x + -6x = 0 -3x + 6y = 0 + 9y -3x + 6y = 9y Add '-6y' to each side of the equation. -3x + 6y + -6y = 9y + -6y Combine like terms: 6y + -6y = 0 -3x + 0 = 9y + -6y -3x = 9y + -6y Combine like terms: 9y + -6y = 3y -3x = 3y Divide each side by '-3'. x = -1y Simplifying x = -1y
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