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Simplifying (X + 6)(x + 8) = 288 Reorder the terms: (6 + X)(x + 8) = 288 Reorder the terms: (6 + X)(8 + x) = 288 Multiply (6 + X) * (8 + x) (6(8 + x) + X(8 + x)) = 288 ((8 * 6 + x * 6) + X(8 + x)) = 288 ((48 + 6x) + X(8 + x)) = 288 (48 + 6x + (8 * X + x * X)) = 288 (48 + 6x + (8X + xX)) = 288 Reorder the terms: (48 + 8X + 6x + xX) = 288 (48 + 8X + 6x + xX) = 288 Solving 48 + 8X + 6x + xX = 288 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 8X + 6x + -48 + xX = 288 + -48 Reorder the terms: 48 + -48 + 8X + 6x + xX = 288 + -48 Combine like terms: 48 + -48 = 0 0 + 8X + 6x + xX = 288 + -48 8X + 6x + xX = 288 + -48 Combine like terms: 288 + -48 = 240 8X + 6x + xX = 240 Add '-6x' to each side of the equation. 8X + 6x + -6x + xX = 240 + -6x Combine like terms: 6x + -6x = 0 8X + 0 + xX = 240 + -6x 8X + xX = 240 + -6x Reorder the terms: -240 + 8X + 6x + xX = 240 + -6x + -240 + 6x Reorder the terms: -240 + 8X + 6x + xX = 240 + -240 + -6x + 6x Combine like terms: 240 + -240 = 0 -240 + 8X + 6x + xX = 0 + -6x + 6x -240 + 8X + 6x + xX = -6x + 6x Combine like terms: -6x + 6x = 0 -240 + 8X + 6x + xX = 0 The solution to this equation could not be determined.
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