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Simplifying 2y(x + 4) = 144y Reorder the terms: 2y(4 + x) = 144y (4 * 2y + x * 2y) = 144y Reorder the terms: (2xy + 8y) = 144y (2xy + 8y) = 144y Solving 2xy + 8y = 144y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 2xy + 8y + -8y = 144y + -8y Combine like terms: 8y + -8y = 0 2xy + 0 = 144y + -8y 2xy = 144y + -8y Combine like terms: 144y + -8y = 136y 2xy = 136y Divide each side by '2y'. x = 68 Simplifying x = 68
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