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Simplifying 3(x + 2y) + 5(2x + y) = 0 (x * 3 + 2y * 3) + 5(2x + y) = 0 (3x + 6y) + 5(2x + y) = 0 3x + 6y + (2x * 5 + y * 5) = 0 3x + 6y + (10x + 5y) = 0 Reorder the terms: 3x + 10x + 6y + 5y = 0 Combine like terms: 3x + 10x = 13x 13x + 6y + 5y = 0 Combine like terms: 6y + 5y = 11y 13x + 11y = 0 Solving 13x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 13x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 13x + 0 = 0 + -11y 13x = 0 + -11y Remove the zero: 13x = -11y Divide each side by '13'. x = -0.8461538462y Simplifying x = -0.8461538462y
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