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Simplifying (X + 5)(3x + -2) = -14 Reorder the terms: (5 + X)(3x + -2) = -14 Reorder the terms: (5 + X)(-2 + 3x) = -14 Multiply (5 + X) * (-2 + 3x) (5(-2 + 3x) + X(-2 + 3x)) = -14 ((-2 * 5 + 3x * 5) + X(-2 + 3x)) = -14 ((-10 + 15x) + X(-2 + 3x)) = -14 (-10 + 15x + (-2 * X + 3x * X)) = -14 (-10 + 15x + (-2X + 3xX)) = -14 Reorder the terms: (-10 + -2X + 15x + 3xX) = -14 (-10 + -2X + 15x + 3xX) = -14 Solving -10 + -2X + 15x + 3xX = -14 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2X + 15x + 10 + 3xX = -14 + 10 Reorder the terms: -10 + 10 + -2X + 15x + 3xX = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -2X + 15x + 3xX = -14 + 10 -2X + 15x + 3xX = -14 + 10 Combine like terms: -14 + 10 = -4 -2X + 15x + 3xX = -4 Add '-15x' to each side of the equation. -2X + 15x + -15x + 3xX = -4 + -15x Combine like terms: 15x + -15x = 0 -2X + 0 + 3xX = -4 + -15x -2X + 3xX = -4 + -15x Reorder the terms: 4 + -2X + 15x + 3xX = -4 + -15x + 4 + 15x Reorder the terms: 4 + -2X + 15x + 3xX = -4 + 4 + -15x + 15x Combine like terms: -4 + 4 = 0 4 + -2X + 15x + 3xX = 0 + -15x + 15x 4 + -2X + 15x + 3xX = -15x + 15x Combine like terms: -15x + 15x = 0 4 + -2X + 15x + 3xX = 0 The solution to this equation could not be determined.
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