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Simplifying (X + 30)(x + 25) = 1000 Reorder the terms: (30 + X)(x + 25) = 1000 Reorder the terms: (30 + X)(25 + x) = 1000 Multiply (30 + X) * (25 + x) (30(25 + x) + X(25 + x)) = 1000 ((25 * 30 + x * 30) + X(25 + x)) = 1000 ((750 + 30x) + X(25 + x)) = 1000 (750 + 30x + (25 * X + x * X)) = 1000 (750 + 30x + (25X + xX)) = 1000 Reorder the terms: (750 + 25X + 30x + xX) = 1000 (750 + 25X + 30x + xX) = 1000 Solving 750 + 25X + 30x + xX = 1000 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-750' to each side of the equation. 750 + 25X + 30x + -750 + xX = 1000 + -750 Reorder the terms: 750 + -750 + 25X + 30x + xX = 1000 + -750 Combine like terms: 750 + -750 = 0 0 + 25X + 30x + xX = 1000 + -750 25X + 30x + xX = 1000 + -750 Combine like terms: 1000 + -750 = 250 25X + 30x + xX = 250 Add '-30x' to each side of the equation. 25X + 30x + -30x + xX = 250 + -30x Combine like terms: 30x + -30x = 0 25X + 0 + xX = 250 + -30x 25X + xX = 250 + -30x Reorder the terms: -250 + 25X + 30x + xX = 250 + -30x + -250 + 30x Reorder the terms: -250 + 25X + 30x + xX = 250 + -250 + -30x + 30x Combine like terms: 250 + -250 = 0 -250 + 25X + 30x + xX = 0 + -30x + 30x -250 + 25X + 30x + xX = -30x + 30x Combine like terms: -30x + 30x = 0 -250 + 25X + 30x + xX = 0 The solution to this equation could not be determined.
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