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Simplifying (2x + 6) * 2y + 3y = 0 Reorder the terms: (6 + 2x) * 2y + 3y = 0 Reorder the terms for easier multiplication: 2y(6 + 2x) + 3y = 0 (6 * 2y + 2x * 2y) + 3y = 0 Reorder the terms: (4xy + 12y) + 3y = 0 (4xy + 12y) + 3y = 0 Combine like terms: 12y + 3y = 15y 4xy + 15y = 0 Solving 4xy + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. 4xy + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 4xy + 0 = 0 + -15y 4xy = 0 + -15y Remove the zero: 4xy = -15y Divide each side by '4y'. x = -3.75 Simplifying x = -3.75
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