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Simplifying (X + 10)(3x + -5) = 0 Reorder the terms: (10 + X)(3x + -5) = 0 Reorder the terms: (10 + X)(-5 + 3x) = 0 Multiply (10 + X) * (-5 + 3x) (10(-5 + 3x) + X(-5 + 3x)) = 0 ((-5 * 10 + 3x * 10) + X(-5 + 3x)) = 0 ((-50 + 30x) + X(-5 + 3x)) = 0 (-50 + 30x + (-5 * X + 3x * X)) = 0 (-50 + 30x + (-5X + 3xX)) = 0 Reorder the terms: (-50 + -5X + 30x + 3xX) = 0 (-50 + -5X + 30x + 3xX) = 0 Solving -50 + -5X + 30x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '50' to each side of the equation. -50 + -5X + 30x + 50 + 3xX = 0 + 50 Reorder the terms: -50 + 50 + -5X + 30x + 3xX = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -5X + 30x + 3xX = 0 + 50 -5X + 30x + 3xX = 0 + 50 Combine like terms: 0 + 50 = 50 -5X + 30x + 3xX = 50 Add '-30x' to each side of the equation. -5X + 30x + -30x + 3xX = 50 + -30x Combine like terms: 30x + -30x = 0 -5X + 0 + 3xX = 50 + -30x -5X + 3xX = 50 + -30x Reorder the terms: -50 + -5X + 30x + 3xX = 50 + -30x + -50 + 30x Reorder the terms: -50 + -5X + 30x + 3xX = 50 + -50 + -30x + 30x Combine like terms: 50 + -50 = 0 -50 + -5X + 30x + 3xX = 0 + -30x + 30x -50 + -5X + 30x + 3xX = -30x + 30x Combine like terms: -30x + 30x = 0 -50 + -5X + 30x + 3xX = 0 The solution to this equation could not be determined.
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