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Simplifying 30x + 45y = 35(x + y) 30x + 45y = (x * 35 + y * 35) 30x + 45y = (35x + 35y) Solving 30x + 45y = 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. 30x + -35x + 45y = 35x + -35x + 35y Combine like terms: 30x + -35x = -5x -5x + 45y = 35x + -35x + 35y Combine like terms: 35x + -35x = 0 -5x + 45y = 0 + 35y -5x + 45y = 35y Add '-45y' to each side of the equation. -5x + 45y + -45y = 35y + -45y Combine like terms: 45y + -45y = 0 -5x + 0 = 35y + -45y -5x = 35y + -45y Combine like terms: 35y + -45y = -10y -5x = -10y Divide each side by '-5'. x = 2y Simplifying x = 2y
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