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Simplifying 5(2x + 4y) + 2(x + -3y) = 0 (2x * 5 + 4y * 5) + 2(x + -3y) = 0 (10x + 20y) + 2(x + -3y) = 0 10x + 20y + (x * 2 + -3y * 2) = 0 10x + 20y + (2x + -6y) = 0 Reorder the terms: 10x + 2x + 20y + -6y = 0 Combine like terms: 10x + 2x = 12x 12x + 20y + -6y = 0 Combine like terms: 20y + -6y = 14y 12x + 14y = 0 Solving 12x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. 12x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 12x + 0 = 0 + -14y 12x = 0 + -14y Remove the zero: 12x = -14y Divide each side by '12'. x = -1.166666667y Simplifying x = -1.166666667y
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