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Simplifying 5y(2x + 7) + 4(2x + 7) = 0 Reorder the terms: 5y(7 + 2x) + 4(2x + 7) = 0 (7 * 5y + 2x * 5y) + 4(2x + 7) = 0 Reorder the terms: (10xy + 35y) + 4(2x + 7) = 0 (10xy + 35y) + 4(2x + 7) = 0 Reorder the terms: 10xy + 35y + 4(7 + 2x) = 0 10xy + 35y + (7 * 4 + 2x * 4) = 0 10xy + 35y + (28 + 8x) = 0 Reorder the terms: 28 + 8x + 10xy + 35y = 0 Solving 28 + 8x + 10xy + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 8x + 10xy + -28 + 35y = 0 + -28 Reorder the terms: 28 + -28 + 8x + 10xy + 35y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 8x + 10xy + 35y = 0 + -28 8x + 10xy + 35y = 0 + -28 Combine like terms: 0 + -28 = -28 8x + 10xy + 35y = -28 Add '-35y' to each side of the equation. 8x + 10xy + 35y + -35y = -28 + -35y Combine like terms: 35y + -35y = 0 8x + 10xy + 0 = -28 + -35y 8x + 10xy = -28 + -35y Reorder the terms: 28 + 8x + 10xy + 35y = -28 + -35y + 28 + 35y Reorder the terms: 28 + 8x + 10xy + 35y = -28 + 28 + -35y + 35y Combine like terms: -28 + 28 = 0 28 + 8x + 10xy + 35y = 0 + -35y + 35y 28 + 8x + 10xy + 35y = -35y + 35y Combine like terms: -35y + 35y = 0 28 + 8x + 10xy + 35y = 0 The solution to this equation could not be determined.
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