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Simplifying 3x + 9y = 4x + 7y Solving 3x + 9y = 4x + 7y 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 + 7y Combine like terms: 3x + -4x = -1x -1x + 9y = 4x + -4x + 7y Combine like terms: 4x + -4x = 0 -1x + 9y = 0 + 7y -1x + 9y = 7y Add '-9y' to each side of the equation. -1x + 9y + -9y = 7y + -9y Combine like terms: 9y + -9y = 0 -1x + 0 = 7y + -9y -1x = 7y + -9y Combine like terms: 7y + -9y = -2y -1x = -2y Divide each side by '-1'. x = 2y Simplifying x = 2y
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