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Simplifying 0.5[X + 4] + 0.25X = 8 Reorder the terms: 0.5[4 + X] + 0.25X = 8 [4 * 0.5 + X * 0.5] + 0.25X = 8 [2 + 0.5X] + 0.25X = 8 Combine like terms: 0.5X + 0.25X = 0.75X 2 + 0.75X = 8 Solving 2 + 0.75X = 8 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.75X = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 0.75X = 8 + -2 0.75X = 8 + -2 Combine like terms: 8 + -2 = 6 0.75X = 6 Divide each side by '0.75'. X = 8 Simplifying X = 8
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