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Simplifying (2x + 1)(y + 3) = 18 Reorder the terms: (1 + 2x)(y + 3) = 18 Reorder the terms: (1 + 2x)(3 + y) = 18 Multiply (1 + 2x) * (3 + y) (1(3 + y) + 2x * (3 + y)) = 18 ((3 * 1 + y * 1) + 2x * (3 + y)) = 18 ((3 + 1y) + 2x * (3 + y)) = 18 (3 + 1y + (3 * 2x + y * 2x)) = 18 (3 + 1y + (6x + 2xy)) = 18 Reorder the terms: (3 + 6x + 2xy + 1y) = 18 (3 + 6x + 2xy + 1y) = 18 Solving 3 + 6x + 2xy + 1y = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6x + 2xy + -3 + 1y = 18 + -3 Reorder the terms: 3 + -3 + 6x + 2xy + 1y = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 6x + 2xy + 1y = 18 + -3 6x + 2xy + 1y = 18 + -3 Combine like terms: 18 + -3 = 15 6x + 2xy + 1y = 15 Add '-1y' to each side of the equation. 6x + 2xy + 1y + -1y = 15 + -1y Combine like terms: 1y + -1y = 0 6x + 2xy + 0 = 15 + -1y 6x + 2xy = 15 + -1y Reorder the terms: -15 + 6x + 2xy + y = 15 + -1y + -15 + y Reorder the terms: -15 + 6x + 2xy + y = 15 + -15 + -1y + y Combine like terms: 15 + -15 = 0 -15 + 6x + 2xy + y = 0 + -1y + y -15 + 6x + 2xy + y = -1y + y Combine like terms: -1y + y = 0 -15 + 6x + 2xy + y = 0 The solution to this equation could not be determined.
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