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Simplifying -2(3x + y) + -6(-5y + -5x) = 0 (3x * -2 + y * -2) + -6(-5y + -5x) = 0 (-6x + -2y) + -6(-5y + -5x) = 0 Reorder the terms: -6x + -2y + -6(-5x + -5y) = 0 -6x + -2y + (-5x * -6 + -5y * -6) = 0 -6x + -2y + (30x + 30y) = 0 Reorder the terms: -6x + 30x + -2y + 30y = 0 Combine like terms: -6x + 30x = 24x 24x + -2y + 30y = 0 Combine like terms: -2y + 30y = 28y 24x + 28y = 0 Solving 24x + 28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28y' to each side of the equation. 24x + 28y + -28y = 0 + -28y Combine like terms: 28y + -28y = 0 24x + 0 = 0 + -28y 24x = 0 + -28y Remove the zero: 24x = -28y Divide each side by '24'. x = -1.166666667y Simplifying x = -1.166666667y
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