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Simplifying 7(2x + 4y) + 5(3x + 6y) = 0 (2x * 7 + 4y * 7) + 5(3x + 6y) = 0 (14x + 28y) + 5(3x + 6y) = 0 14x + 28y + (3x * 5 + 6y * 5) = 0 14x + 28y + (15x + 30y) = 0 Reorder the terms: 14x + 15x + 28y + 30y = 0 Combine like terms: 14x + 15x = 29x 29x + 28y + 30y = 0 Combine like terms: 28y + 30y = 58y 29x + 58y = 0 Solving 29x + 58y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58y' to each side of the equation. 29x + 58y + -58y = 0 + -58y Combine like terms: 58y + -58y = 0 29x + 0 = 0 + -58y 29x = 0 + -58y Remove the zero: 29x = -58y Divide each side by '29'. x = -2y Simplifying x = -2y
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