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Simplifying X(n) = X(n + -1) + 5 Multiply X * n nX = X(n + -1) + 5 Reorder the terms: nX = X(-1 + n) + 5 nX = (-1 * X + n * X) + 5 nX = (-1X + nX) + 5 Reorder the terms: nX = 5 + -1X + nX Add '-1nX' to each side of the equation. nX + -1nX = 5 + -1X + nX + -1nX Combine like terms: nX + -1nX = 0 0 = 5 + -1X + nX + -1nX Combine like terms: nX + -1nX = 0 0 = 5 + -1X + 0 0 = 5 + -1X Solving 0 = 5 + -1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. 0 + X = 5 + -1X + X Remove the zero: X = 5 + -1X + X Combine like terms: -1X + X = 0 X = 5 + 0 X = 5 Simplifying X = 5
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