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Simplifying 5(x + 3y) + 6(2x + y) = 0 (x * 5 + 3y * 5) + 6(2x + y) = 0 (5x + 15y) + 6(2x + y) = 0 5x + 15y + (2x * 6 + y * 6) = 0 5x + 15y + (12x + 6y) = 0 Reorder the terms: 5x + 12x + 15y + 6y = 0 Combine like terms: 5x + 12x = 17x 17x + 15y + 6y = 0 Combine like terms: 15y + 6y = 21y 17x + 21y = 0 Solving 17x + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. 17x + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 17x + 0 = 0 + -21y 17x = 0 + -21y Remove the zero: 17x = -21y Divide each side by '17'. x = -1.235294118y Simplifying x = -1.235294118y
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