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Simplifying (X + -5)(3x + -7) = 0 Reorder the terms: (-5 + X)(3x + -7) = 0 Reorder the terms: (-5 + X)(-7 + 3x) = 0 Multiply (-5 + X) * (-7 + 3x) (-5(-7 + 3x) + X(-7 + 3x)) = 0 ((-7 * -5 + 3x * -5) + X(-7 + 3x)) = 0 ((35 + -15x) + X(-7 + 3x)) = 0 (35 + -15x + (-7 * X + 3x * X)) = 0 (35 + -15x + (-7X + 3xX)) = 0 Reorder the terms: (35 + -7X + -15x + 3xX) = 0 (35 + -7X + -15x + 3xX) = 0 Solving 35 + -7X + -15x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -7X + -15x + -35 + 3xX = 0 + -35 Reorder the terms: 35 + -35 + -7X + -15x + 3xX = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7X + -15x + 3xX = 0 + -35 -7X + -15x + 3xX = 0 + -35 Combine like terms: 0 + -35 = -35 -7X + -15x + 3xX = -35 Add '15x' to each side of the equation. -7X + -15x + 15x + 3xX = -35 + 15x Combine like terms: -15x + 15x = 0 -7X + 0 + 3xX = -35 + 15x -7X + 3xX = -35 + 15x Reorder the terms: 35 + -7X + -15x + 3xX = -35 + 15x + 35 + -15x Reorder the terms: 35 + -7X + -15x + 3xX = -35 + 35 + 15x + -15x Combine like terms: -35 + 35 = 0 35 + -7X + -15x + 3xX = 0 + 15x + -15x 35 + -7X + -15x + 3xX = 15x + -15x Combine like terms: 15x + -15x = 0 35 + -7X + -15x + 3xX = 0 The solution to this equation could not be determined.
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