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Simplifying (X + 8)(x + -3) = 42 Reorder the terms: (8 + X)(x + -3) = 42 Reorder the terms: (8 + X)(-3 + x) = 42 Multiply (8 + X) * (-3 + x) (8(-3 + x) + X(-3 + x)) = 42 ((-3 * 8 + x * 8) + X(-3 + x)) = 42 ((-24 + 8x) + X(-3 + x)) = 42 (-24 + 8x + (-3 * X + x * X)) = 42 (-24 + 8x + (-3X + xX)) = 42 Reorder the terms: (-24 + -3X + 8x + xX) = 42 (-24 + -3X + 8x + xX) = 42 Solving -24 + -3X + 8x + xX = 42 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -3X + 8x + 24 + xX = 42 + 24 Reorder the terms: -24 + 24 + -3X + 8x + xX = 42 + 24 Combine like terms: -24 + 24 = 0 0 + -3X + 8x + xX = 42 + 24 -3X + 8x + xX = 42 + 24 Combine like terms: 42 + 24 = 66 -3X + 8x + xX = 66 Add '-8x' to each side of the equation. -3X + 8x + -8x + xX = 66 + -8x Combine like terms: 8x + -8x = 0 -3X + 0 + xX = 66 + -8x -3X + xX = 66 + -8x Reorder the terms: -66 + -3X + 8x + xX = 66 + -8x + -66 + 8x Reorder the terms: -66 + -3X + 8x + xX = 66 + -66 + -8x + 8x Combine like terms: 66 + -66 = 0 -66 + -3X + 8x + xX = 0 + -8x + 8x -66 + -3X + 8x + xX = -8x + 8x Combine like terms: -8x + 8x = 0 -66 + -3X + 8x + xX = 0 The solution to this equation could not be determined.
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