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Simplifying 5(2x + 4y) + 8x + 10y = 0 (2x * 5 + 4y * 5) + 8x + 10y = 0 (10x + 20y) + 8x + 10y = 0 Reorder the terms: 10x + 8x + 20y + 10y = 0 Combine like terms: 10x + 8x = 18x 18x + 20y + 10y = 0 Combine like terms: 20y + 10y = 30y 18x + 30y = 0 Solving 18x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. 18x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 18x + 0 = 0 + -30y 18x = 0 + -30y Remove the zero: 18x = -30y Divide each side by '18'. x = -1.666666667y Simplifying x = -1.666666667y
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