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Simplifying 4(3x + 9y) = 5(9x + 3y) (3x * 4 + 9y * 4) = 5(9x + 3y) (12x + 36y) = 5(9x + 3y) 12x + 36y = (9x * 5 + 3y * 5) 12x + 36y = (45x + 15y) Solving 12x + 36y = 45x + 15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 12x + -45x + 36y = 45x + -45x + 15y Combine like terms: 12x + -45x = -33x -33x + 36y = 45x + -45x + 15y Combine like terms: 45x + -45x = 0 -33x + 36y = 0 + 15y -33x + 36y = 15y Add '-36y' to each side of the equation. -33x + 36y + -36y = 15y + -36y Combine like terms: 36y + -36y = 0 -33x + 0 = 15y + -36y -33x = 15y + -36y Combine like terms: 15y + -36y = -21y -33x = -21y Divide each side by '-33'. x = 0.6363636364y Simplifying x = 0.6363636364y
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