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Simplifying -0.25(X + -8) + 0.50(X + 2) = X + 9 Reorder the terms: -0.25(-8 + X) + 0.50(X + 2) = X + 9 (-8 * -0.25 + X * -0.25) + 0.50(X + 2) = X + 9 (2 + -0.25X) + 0.50(X + 2) = X + 9 Reorder the terms: 2 + -0.25X + 0.50(2 + X) = X + 9 2 + -0.25X + (2 * 0.50 + X * 0.50) = X + 9 2 + -0.25X + (1 + 0.50X) = X + 9 Reorder the terms: 2 + 1 + -0.25X + 0.50X = X + 9 Combine like terms: 2 + 1 = 3 3 + -0.25X + 0.50X = X + 9 Combine like terms: -0.25X + 0.50X = 0.25X 3 + 0.25X = X + 9 Reorder the terms: 3 + 0.25X = 9 + X Solving 3 + 0.25X = 9 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 3 + 0.25X + -1X = 9 + X + -1X Combine like terms: 0.25X + -1X = -0.75X 3 + -0.75X = 9 + X + -1X Combine like terms: X + -1X = 0 3 + -0.75X = 9 + 0 3 + -0.75X = 9 Add '-3' to each side of the equation. 3 + -3 + -0.75X = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -0.75X = 9 + -3 -0.75X = 9 + -3 Combine like terms: 9 + -3 = 6 -0.75X = 6 Divide each side by '-0.75'. X = -8 Simplifying X = -8
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