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Simplifying 3(X + 8)(5 + 4) = 8X(4 + 8) Reorder the terms: 3(8 + X)(5 + 4) = 8X(4 + 8) Combine like terms: 5 + 4 = 9 3(8 + X)(9) = 8X(4 + 8) Reorder the terms for easier multiplication: 3 * 9(8 + X) = 8X(4 + 8) Multiply 3 * 9 27(8 + X) = 8X(4 + 8) (8 * 27 + X * 27) = 8X(4 + 8) (216 + 27X) = 8X(4 + 8) Combine like terms: 4 + 8 = 12 216 + 27X = 8X(12) Reorder the terms for easier multiplication: 216 + 27X = 8 * 12X Multiply 8 * 12 216 + 27X = 96X Solving 216 + 27X = 96X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-96X' to each side of the equation. 216 + 27X + -96X = 96X + -96X Combine like terms: 27X + -96X = -69X 216 + -69X = 96X + -96X Combine like terms: 96X + -96X = 0 216 + -69X = 0 Add '-216' to each side of the equation. 216 + -216 + -69X = 0 + -216 Combine like terms: 216 + -216 = 0 0 + -69X = 0 + -216 -69X = 0 + -216 Combine like terms: 0 + -216 = -216 -69X = -216 Divide each side by '-69'. X = 3.130434783 Simplifying X = 3.130434783
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