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Simplifying -6(-4x + -4y) + -3(y + -5x) = 0 (-4x * -6 + -4y * -6) + -3(y + -5x) = 0 (24x + 24y) + -3(y + -5x) = 0 Reorder the terms: 24x + 24y + -3(-5x + y) = 0 24x + 24y + (-5x * -3 + y * -3) = 0 24x + 24y + (15x + -3y) = 0 Reorder the terms: 24x + 15x + 24y + -3y = 0 Combine like terms: 24x + 15x = 39x 39x + 24y + -3y = 0 Combine like terms: 24y + -3y = 21y 39x + 21y = 0 Solving 39x + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. 39x + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 39x + 0 = 0 + -21y 39x = 0 + -21y Remove the zero: 39x = -21y Divide each side by '39'. x = -0.5384615385y Simplifying x = -0.5384615385y
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