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Simplifying 6x + -1[4x + -1(2x + -8y)] + -6y = 0 6x + -1[4x + (2x * -1 + -8y * -1)] + -6y = 0 6x + -1[4x + (-2x + 8y)] + -6y = 0 Combine like terms: 4x + -2x = 2x 6x + -1[2x + 8y] + -6y = 0 6x + [2x * -1 + 8y * -1] + -6y = 0 6x + [-2x + -8y] + -6y = 0 Combine like terms: 6x + -2x = 4x 4x + -8y + -6y = 0 Combine like terms: -8y + -6y = -14y 4x + -14y = 0 Solving 4x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. 4x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 4x + 0 = 0 + 14y 4x = 0 + 14y Remove the zero: 4x = 14y Divide each side by '4'. x = 3.5y Simplifying x = 3.5y
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