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Simplifying X = 4 + -0.5(3.5 + -0.5X) X = 4 + (3.5 * -0.5 + -0.5X * -0.5) X = 4 + (-1.75 + 0.25X) Combine like terms: 4 + -1.75 = 2.25 X = 2.25 + 0.25X Solving X = 2.25 + 0.25X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.25X' to each side of the equation. X + -0.25X = 2.25 + 0.25X + -0.25X Combine like terms: X + -0.25X = 0.75X 0.75X = 2.25 + 0.25X + -0.25X Combine like terms: 0.25X + -0.25X = 0.00 0.75X = 2.25 + 0.00 0.75X = 2.25 Divide each side by '0.75'. X = 3 Simplifying X = 3
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