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Simplifying (X + 24)(x + 32) = 1174 Reorder the terms: (24 + X)(x + 32) = 1174 Reorder the terms: (24 + X)(32 + x) = 1174 Multiply (24 + X) * (32 + x) (24(32 + x) + X(32 + x)) = 1174 ((32 * 24 + x * 24) + X(32 + x)) = 1174 ((768 + 24x) + X(32 + x)) = 1174 (768 + 24x + (32 * X + x * X)) = 1174 (768 + 24x + (32X + xX)) = 1174 Reorder the terms: (768 + 32X + 24x + xX) = 1174 (768 + 32X + 24x + xX) = 1174 Solving 768 + 32X + 24x + xX = 1174 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-768' to each side of the equation. 768 + 32X + 24x + -768 + xX = 1174 + -768 Reorder the terms: 768 + -768 + 32X + 24x + xX = 1174 + -768 Combine like terms: 768 + -768 = 0 0 + 32X + 24x + xX = 1174 + -768 32X + 24x + xX = 1174 + -768 Combine like terms: 1174 + -768 = 406 32X + 24x + xX = 406 Add '-24x' to each side of the equation. 32X + 24x + -24x + xX = 406 + -24x Combine like terms: 24x + -24x = 0 32X + 0 + xX = 406 + -24x 32X + xX = 406 + -24x Reorder the terms: -406 + 32X + 24x + xX = 406 + -24x + -406 + 24x Reorder the terms: -406 + 32X + 24x + xX = 406 + -406 + -24x + 24x Combine like terms: 406 + -406 = 0 -406 + 32X + 24x + xX = 0 + -24x + 24x -406 + 32X + 24x + xX = -24x + 24x Combine like terms: -24x + 24x = 0 -406 + 32X + 24x + xX = 0 The solution to this equation could not be determined.
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