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Simplifying 5(x + 10y) + 6(x + -12y) = 0 (x * 5 + 10y * 5) + 6(x + -12y) = 0 (5x + 50y) + 6(x + -12y) = 0 5x + 50y + (x * 6 + -12y * 6) = 0 5x + 50y + (6x + -72y) = 0 Reorder the terms: 5x + 6x + 50y + -72y = 0 Combine like terms: 5x + 6x = 11x 11x + 50y + -72y = 0 Combine like terms: 50y + -72y = -22y 11x + -22y = 0 Solving 11x + -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. 11x + -22y + 22y = 0 + 22y Combine like terms: -22y + 22y = 0 11x + 0 = 0 + 22y 11x = 0 + 22y Remove the zero: 11x = 22y Divide each side by '11'. x = 2y Simplifying x = 2y
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