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Simplifying (X + 5)(1 + -3x) = 0 Reorder the terms: (5 + X)(1 + -3x) = 0 Multiply (5 + X) * (1 + -3x) (5(1 + -3x) + X(1 + -3x)) = 0 ((1 * 5 + -3x * 5) + X(1 + -3x)) = 0 ((5 + -15x) + X(1 + -3x)) = 0 (5 + -15x + (1 * X + -3x * X)) = 0 (5 + -15x + (1X + -3xX)) = 0 Reorder the terms: (5 + 1X + -15x + -3xX) = 0 (5 + 1X + -15x + -3xX) = 0 Solving 5 + 1X + -15x + -3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 1X + -15x + -5 + -3xX = 0 + -5 Reorder the terms: 5 + -5 + 1X + -15x + -3xX = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1X + -15x + -3xX = 0 + -5 1X + -15x + -3xX = 0 + -5 Combine like terms: 0 + -5 = -5 1X + -15x + -3xX = -5 Add '15x' to each side of the equation. 1X + -15x + 15x + -3xX = -5 + 15x Combine like terms: -15x + 15x = 0 1X + 0 + -3xX = -5 + 15x 1X + -3xX = -5 + 15x Reorder the terms: 5 + 1X + -15x + -3xX = -5 + 15x + 5 + -15x Reorder the terms: 5 + 1X + -15x + -3xX = -5 + 5 + 15x + -15x Combine like terms: -5 + 5 = 0 5 + 1X + -15x + -3xX = 0 + 15x + -15x 5 + 1X + -15x + -3xX = 15x + -15x Combine like terms: 15x + -15x = 0 5 + 1X + -15x + -3xX = 0 The solution to this equation could not be determined.
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