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Simplifying (2x + 5y) + (3x + -2y) = 0 Remove parenthesis around (2x + 5y) 2x + 5y + (3x + -2y) = 0 Remove parenthesis around (3x + -2y) 2x + 5y + 3x + -2y = 0 Reorder the terms: 2x + 3x + 5y + -2y = 0 Combine like terms: 2x + 3x = 5x 5x + 5y + -2y = 0 Combine like terms: 5y + -2y = 3y 5x + 3y = 0 Solving 5x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 5x + 0 = 0 + -3y 5x = 0 + -3y Remove the zero: 5x = -3y Divide each side by '5'. x = -0.6y Simplifying x = -0.6y
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