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Simplifying -2(-3x + -4y) + -6(-5y + -1x) = 0 (-3x * -2 + -4y * -2) + -6(-5y + -1x) = 0 (6x + 8y) + -6(-5y + -1x) = 0 Reorder the terms: 6x + 8y + -6(-1x + -5y) = 0 6x + 8y + (-1x * -6 + -5y * -6) = 0 6x + 8y + (6x + 30y) = 0 Reorder the terms: 6x + 6x + 8y + 30y = 0 Combine like terms: 6x + 6x = 12x 12x + 8y + 30y = 0 Combine like terms: 8y + 30y = 38y 12x + 38y = 0 Solving 12x + 38y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38y' to each side of the equation. 12x + 38y + -38y = 0 + -38y Combine like terms: 38y + -38y = 0 12x + 0 = 0 + -38y 12x = 0 + -38y Remove the zero: 12x = -38y Divide each side by '12'. x = -3.166666667y Simplifying x = -3.166666667y
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