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Simplifying 2(2x + 6y) + 2(x + -8y) = 0 (2x * 2 + 6y * 2) + 2(x + -8y) = 0 (4x + 12y) + 2(x + -8y) = 0 4x + 12y + (x * 2 + -8y * 2) = 0 4x + 12y + (2x + -16y) = 0 Reorder the terms: 4x + 2x + 12y + -16y = 0 Combine like terms: 4x + 2x = 6x 6x + 12y + -16y = 0 Combine like terms: 12y + -16y = -4y 6x + -4y = 0 Solving 6x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 6x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 6x + 0 = 0 + 4y 6x = 0 + 4y Remove the zero: 6x = 4y Divide each side by '6'. x = 0.6666666667y Simplifying x = 0.6666666667y
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