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Simplifying 2(3x + -4y) + -1(x + 5y) = 0 (3x * 2 + -4y * 2) + -1(x + 5y) = 0 (6x + -8y) + -1(x + 5y) = 0 6x + -8y + (x * -1 + 5y * -1) = 0 6x + -8y + (-1x + -5y) = 0 Reorder the terms: 6x + -1x + -8y + -5y = 0 Combine like terms: 6x + -1x = 5x 5x + -8y + -5y = 0 Combine like terms: -8y + -5y = -13y 5x + -13y = 0 Solving 5x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 5x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 5x + 0 = 0 + 13y 5x = 0 + 13y Remove the zero: 5x = 13y Divide each side by '5'. x = 2.6y Simplifying x = 2.6y
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