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Simplifying 2(3x + -1y) + -1(2x + 8y) = 0 (3x * 2 + -1y * 2) + -1(2x + 8y) = 0 (6x + -2y) + -1(2x + 8y) = 0 6x + -2y + (2x * -1 + 8y * -1) = 0 6x + -2y + (-2x + -8y) = 0 Reorder the terms: 6x + -2x + -2y + -8y = 0 Combine like terms: 6x + -2x = 4x 4x + -2y + -8y = 0 Combine like terms: -2y + -8y = -10y 4x + -10y = 0 Solving 4x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 4x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 4x + 0 = 0 + 10y 4x = 0 + 10y Remove the zero: 4x = 10y Divide each side by '4'. x = 2.5y Simplifying x = 2.5y
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