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Simplifying 200 = (3x + 5)(X + 6) Reorder the terms: 200 = (5 + 3x)(X + 6) Reorder the terms: 200 = (5 + 3x)(6 + X) Multiply (5 + 3x) * (6 + X) 200 = (5(6 + X) + 3x * (6 + X)) 200 = ((6 * 5 + X * 5) + 3x * (6 + X)) 200 = ((30 + 5X) + 3x * (6 + X)) 200 = (30 + 5X + (6 * 3x + X * 3x)) 200 = (30 + 5X + (18x + 3xX)) 200 = (30 + 5X + 18x + 3xX) Solving 200 = 30 + 5X + 18x + 3xX Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. 200 + -5X = 30 + 5X + 18x + -5X + 3xX Reorder the terms: 200 + -5X = 30 + 5X + -5X + 18x + 3xX Combine like terms: 5X + -5X = 0 200 + -5X = 30 + 0 + 18x + 3xX 200 + -5X = 30 + 18x + 3xX Add '-3xX' to each side of the equation. 200 + -5X + -3xX = 30 + 18x + 3xX + -3xX Combine like terms: 3xX + -3xX = 0 200 + -5X + -3xX = 30 + 18x + 0 200 + -5X + -3xX = 30 + 18x Add '-200' to each side of the equation. 200 + -5X + -200 + -3xX = 30 + -200 + 18x Reorder the terms: 200 + -200 + -5X + -3xX = 30 + -200 + 18x Combine like terms: 200 + -200 = 0 0 + -5X + -3xX = 30 + -200 + 18x -5X + -3xX = 30 + -200 + 18x Combine like terms: 30 + -200 = -170 -5X + -3xX = -170 + 18x Reorder the terms: 170 + -5X + -18x + -3xX = -170 + 18x + 170 + -18x Reorder the terms: 170 + -5X + -18x + -3xX = -170 + 170 + 18x + -18x Combine like terms: -170 + 170 = 0 170 + -5X + -18x + -3xX = 0 + 18x + -18x 170 + -5X + -18x + -3xX = 18x + -18x Combine like terms: 18x + -18x = 0 170 + -5X + -18x + -3xX = 0 The solution to this equation could not be determined.
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