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Simplifying (5x + 25y) + -1(3x + -6y) = 0 Remove parenthesis around (5x + 25y) 5x + 25y + -1(3x + -6y) = 0 5x + 25y + (3x * -1 + -6y * -1) = 0 5x + 25y + (-3x + 6y) = 0 Reorder the terms: 5x + -3x + 25y + 6y = 0 Combine like terms: 5x + -3x = 2x 2x + 25y + 6y = 0 Combine like terms: 25y + 6y = 31y 2x + 31y = 0 Solving 2x + 31y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31y' to each side of the equation. 2x + 31y + -31y = 0 + -31y Combine like terms: 31y + -31y = 0 2x + 0 = 0 + -31y 2x = 0 + -31y Remove the zero: 2x = -31y Divide each side by '2'. x = -15.5y Simplifying x = -15.5y
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