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Simplifying 6(5x + -13y) = 0 (5x * 6 + -13y * 6) = 0 (30x + -78y) = 0 Solving 30x + -78y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78y' to each side of the equation. 30x + -78y + 78y = 0 + 78y Combine like terms: -78y + 78y = 0 30x + 0 = 0 + 78y 30x = 0 + 78y Remove the zero: 30x = 78y Divide each side by '30'. x = 2.6y Simplifying x = 2.6y
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