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Simplifying 24 = 9 + 1.5(X + 6) Reorder the terms: 24 = 9 + 1.5(6 + X) 24 = 9 + (6 * 1.5 + X * 1.5) 24 = 9 + (9 + 1.5X) Combine like terms: 9 + 9 = 18 24 = 18 + 1.5X Solving 24 = 18 + 1.5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1.5X' to each side of the equation. 24 + -1.5X = 18 + 1.5X + -1.5X Combine like terms: 1.5X + -1.5X = 0.0 24 + -1.5X = 18 + 0.0 24 + -1.5X = 18 Add '-24' to each side of the equation. 24 + -24 + -1.5X = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -1.5X = 18 + -24 -1.5X = 18 + -24 Combine like terms: 18 + -24 = -6 -1.5X = -6 Divide each side by '-1.5'. X = 4 Simplifying X = 4
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