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Simplifying 5(3x + 2y) + 3(2x + 5y) = 0 (3x * 5 + 2y * 5) + 3(2x + 5y) = 0 (15x + 10y) + 3(2x + 5y) = 0 15x + 10y + (2x * 3 + 5y * 3) = 0 15x + 10y + (6x + 15y) = 0 Reorder the terms: 15x + 6x + 10y + 15y = 0 Combine like terms: 15x + 6x = 21x 21x + 10y + 15y = 0 Combine like terms: 10y + 15y = 25y 21x + 25y = 0 Solving 21x + 25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25y' to each side of the equation. 21x + 25y + -25y = 0 + -25y Combine like terms: 25y + -25y = 0 21x + 0 = 0 + -25y 21x = 0 + -25y Remove the zero: 21x = -25y Divide each side by '21'. x = -1.19047619y Simplifying x = -1.19047619y
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