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Simplifying (X + 30)(x + 15) = 1000 Reorder the terms: (30 + X)(x + 15) = 1000 Reorder the terms: (30 + X)(15 + x) = 1000 Multiply (30 + X) * (15 + x) (30(15 + x) + X(15 + x)) = 1000 ((15 * 30 + x * 30) + X(15 + x)) = 1000 ((450 + 30x) + X(15 + x)) = 1000 (450 + 30x + (15 * X + x * X)) = 1000 (450 + 30x + (15X + xX)) = 1000 Reorder the terms: (450 + 15X + 30x + xX) = 1000 (450 + 15X + 30x + xX) = 1000 Solving 450 + 15X + 30x + xX = 1000 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-450' to each side of the equation. 450 + 15X + 30x + -450 + xX = 1000 + -450 Reorder the terms: 450 + -450 + 15X + 30x + xX = 1000 + -450 Combine like terms: 450 + -450 = 0 0 + 15X + 30x + xX = 1000 + -450 15X + 30x + xX = 1000 + -450 Combine like terms: 1000 + -450 = 550 15X + 30x + xX = 550 Add '-30x' to each side of the equation. 15X + 30x + -30x + xX = 550 + -30x Combine like terms: 30x + -30x = 0 15X + 0 + xX = 550 + -30x 15X + xX = 550 + -30x Reorder the terms: -550 + 15X + 30x + xX = 550 + -30x + -550 + 30x Reorder the terms: -550 + 15X + 30x + xX = 550 + -550 + -30x + 30x Combine like terms: 550 + -550 = 0 -550 + 15X + 30x + xX = 0 + -30x + 30x -550 + 15X + 30x + xX = -30x + 30x Combine like terms: -30x + 30x = 0 -550 + 15X + 30x + xX = 0 The solution to this equation could not be determined.
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