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Simplifying -6(4x + -1y) + -2(x + -2y) = 0 (4x * -6 + -1y * -6) + -2(x + -2y) = 0 (-24x + 6y) + -2(x + -2y) = 0 -24x + 6y + (x * -2 + -2y * -2) = 0 -24x + 6y + (-2x + 4y) = 0 Reorder the terms: -24x + -2x + 6y + 4y = 0 Combine like terms: -24x + -2x = -26x -26x + 6y + 4y = 0 Combine like terms: 6y + 4y = 10y -26x + 10y = 0 Solving -26x + 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. -26x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -26x + 0 = 0 + -10y -26x = 0 + -10y Remove the zero: -26x = -10y Divide each side by '-26'. x = 0.3846153846y Simplifying x = 0.3846153846y
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