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Simplifying -6(x + 6y) + 6(6x + y) = 0 (x * -6 + 6y * -6) + 6(6x + y) = 0 (-6x + -36y) + 6(6x + y) = 0 -6x + -36y + (6x * 6 + y * 6) = 0 -6x + -36y + (36x + 6y) = 0 Reorder the terms: -6x + 36x + -36y + 6y = 0 Combine like terms: -6x + 36x = 30x 30x + -36y + 6y = 0 Combine like terms: -36y + 6y = -30y 30x + -30y = 0 Solving 30x + -30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30y' to each side of the equation. 30x + -30y + 30y = 0 + 30y Combine like terms: -30y + 30y = 0 30x + 0 = 0 + 30y 30x = 0 + 30y Remove the zero: 30x = 30y Divide each side by '30'. x = y Simplifying x = y
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