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Simplifying 4(3x + 2y) + 2(x + y) = 0 (3x * 4 + 2y * 4) + 2(x + y) = 0 (12x + 8y) + 2(x + y) = 0 12x + 8y + (x * 2 + y * 2) = 0 12x + 8y + (2x + 2y) = 0 Reorder the terms: 12x + 2x + 8y + 2y = 0 Combine like terms: 12x + 2x = 14x 14x + 8y + 2y = 0 Combine like terms: 8y + 2y = 10y 14x + 10y = 0 Solving 14x + 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. 14x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 14x + 0 = 0 + -10y 14x = 0 + -10y Remove the zero: 14x = -10y Divide each side by '14'. x = -0.7142857143y Simplifying x = -0.7142857143y
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