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Simplifying 5(3x + 2y) + 3(7x + 4y) = 0 (3x * 5 + 2y * 5) + 3(7x + 4y) = 0 (15x + 10y) + 3(7x + 4y) = 0 15x + 10y + (7x * 3 + 4y * 3) = 0 15x + 10y + (21x + 12y) = 0 Reorder the terms: 15x + 21x + 10y + 12y = 0 Combine like terms: 15x + 21x = 36x 36x + 10y + 12y = 0 Combine like terms: 10y + 12y = 22y 36x + 22y = 0 Solving 36x + 22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22y' to each side of the equation. 36x + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 36x + 0 = 0 + -22y 36x = 0 + -22y Remove the zero: 36x = -22y Divide each side by '36'. x = -0.6111111111y Simplifying x = -0.6111111111y
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