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Simplifying 3(x + 2y) + 4(3x + y) = 0 (x * 3 + 2y * 3) + 4(3x + y) = 0 (3x + 6y) + 4(3x + y) = 0 3x + 6y + (3x * 4 + y * 4) = 0 3x + 6y + (12x + 4y) = 0 Reorder the terms: 3x + 12x + 6y + 4y = 0 Combine like terms: 3x + 12x = 15x 15x + 6y + 4y = 0 Combine like terms: 6y + 4y = 10y 15x + 10y = 0 Solving 15x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 15x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 15x + 0 = 0 + -10y 15x = 0 + -10y Remove the zero: 15x = -10y Divide each side by '15'. x = -0.6666666667y Simplifying x = -0.6666666667y
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