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