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Simplifying 3x + 9y = 4x + 6y Solving 3x + 9y = 4x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3x + -4x + 9y = 4x + -4x + 6y Combine like terms: 3x + -4x = -1x -1x + 9y = 4x + -4x + 6y Combine like terms: 4x + -4x = 0 -1x + 9y = 0 + 6y -1x + 9y = 6y Add '-9y' to each side of the equation. -1x + 9y + -9y = 6y + -9y Combine like terms: 9y + -9y = 0 -1x + 0 = 6y + -9y -1x = 6y + -9y Combine like terms: 6y + -9y = -3y -1x = -3y Divide each side by '-1'. x = 3y Simplifying x = 3y
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