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Simplifying 25x + 50y = 35(x + y) 25x + 50y = (x * 35 + y * 35) 25x + 50y = (35x + 35y) Solving 25x + 50y = 35x + 35y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 25x + -35x + 50y = 35x + -35x + 35y Combine like terms: 25x + -35x = -10x -10x + 50y = 35x + -35x + 35y Combine like terms: 35x + -35x = 0 -10x + 50y = 0 + 35y -10x + 50y = 35y Add '-50y' to each side of the equation. -10x + 50y + -50y = 35y + -50y Combine like terms: 50y + -50y = 0 -10x + 0 = 35y + -50y -10x = 35y + -50y Combine like terms: 35y + -50y = -15y -10x = -15y Divide each side by '-10'. x = 1.5y Simplifying x = 1.5y
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