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Simplifying (5x + -2)(9 + -1y) = 64 Reorder the terms: (-2 + 5x)(9 + -1y) = 64 Multiply (-2 + 5x) * (9 + -1y) (-2(9 + -1y) + 5x * (9 + -1y)) = 64 ((9 * -2 + -1y * -2) + 5x * (9 + -1y)) = 64 ((-18 + 2y) + 5x * (9 + -1y)) = 64 (-18 + 2y + (9 * 5x + -1y * 5x)) = 64 (-18 + 2y + (45x + -5xy)) = 64 Reorder the terms: (-18 + 45x + -5xy + 2y) = 64 (-18 + 45x + -5xy + 2y) = 64 Solving -18 + 45x + -5xy + 2y = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 45x + -5xy + 18 + 2y = 64 + 18 Reorder the terms: -18 + 18 + 45x + -5xy + 2y = 64 + 18 Combine like terms: -18 + 18 = 0 0 + 45x + -5xy + 2y = 64 + 18 45x + -5xy + 2y = 64 + 18 Combine like terms: 64 + 18 = 82 45x + -5xy + 2y = 82 Add '-2y' to each side of the equation. 45x + -5xy + 2y + -2y = 82 + -2y Combine like terms: 2y + -2y = 0 45x + -5xy + 0 = 82 + -2y 45x + -5xy = 82 + -2y Reorder the terms: -82 + 45x + -5xy + 2y = 82 + -2y + -82 + 2y Reorder the terms: -82 + 45x + -5xy + 2y = 82 + -82 + -2y + 2y Combine like terms: 82 + -82 = 0 -82 + 45x + -5xy + 2y = 0 + -2y + 2y -82 + 45x + -5xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -82 + 45x + -5xy + 2y = 0 The solution to this equation could not be determined.
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