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Simplifying 6x + -1[3x + -1(5x + -4y)] + -6y = 0 6x + -1[3x + (5x * -1 + -4y * -1)] + -6y = 0 6x + -1[3x + (-5x + 4y)] + -6y = 0 Combine like terms: 3x + -5x = -2x 6x + -1[-2x + 4y] + -6y = 0 6x + [-2x * -1 + 4y * -1] + -6y = 0 6x + [2x + -4y] + -6y = 0 Combine like terms: 6x + 2x = 8x 8x + -4y + -6y = 0 Combine like terms: -4y + -6y = -10y 8x + -10y = 0 Solving 8x + -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. 8x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 8x + 0 = 0 + 10y 8x = 0 + 10y Remove the zero: 8x = 10y Divide each side by '8'. x = 1.25y Simplifying x = 1.25y
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