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Simplifying (X + 6)(x + -3) = 10 Reorder the terms: (6 + X)(x + -3) = 10 Reorder the terms: (6 + X)(-3 + x) = 10 Multiply (6 + X) * (-3 + x) (6(-3 + x) + X(-3 + x)) = 10 ((-3 * 6 + x * 6) + X(-3 + x)) = 10 ((-18 + 6x) + X(-3 + x)) = 10 (-18 + 6x + (-3 * X + x * X)) = 10 (-18 + 6x + (-3X + xX)) = 10 Reorder the terms: (-18 + -3X + 6x + xX) = 10 (-18 + -3X + 6x + xX) = 10 Solving -18 + -3X + 6x + xX = 10 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -3X + 6x + 18 + xX = 10 + 18 Reorder the terms: -18 + 18 + -3X + 6x + xX = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -3X + 6x + xX = 10 + 18 -3X + 6x + xX = 10 + 18 Combine like terms: 10 + 18 = 28 -3X + 6x + xX = 28 Add '-6x' to each side of the equation. -3X + 6x + -6x + xX = 28 + -6x Combine like terms: 6x + -6x = 0 -3X + 0 + xX = 28 + -6x -3X + xX = 28 + -6x Reorder the terms: -28 + -3X + 6x + xX = 28 + -6x + -28 + 6x Reorder the terms: -28 + -3X + 6x + xX = 28 + -28 + -6x + 6x Combine like terms: 28 + -28 = 0 -28 + -3X + 6x + xX = 0 + -6x + 6x -28 + -3X + 6x + xX = -6x + 6x Combine like terms: -6x + 6x = 0 -28 + -3X + 6x + xX = 0 The solution to this equation could not be determined.
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