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Simplifying If + -1(x + -1) = 5 Reorder the terms: fI + -1(-1 + x) = 5 fI + (-1 * -1 + x * -1) = 5 fI + (1 + -1x) = 5 Reorder the terms: 1 + fI + -1x = 5 Solving 1 + fI + -1x = 5 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + fI + -1 + -1x = 5 + -1 Reorder the terms: 1 + -1 + fI + -1x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + fI + -1x = 5 + -1 fI + -1x = 5 + -1 Combine like terms: 5 + -1 = 4 fI + -1x = 4 Add 'x' to each side of the equation. fI + -1x + x = 4 + x Combine like terms: -1x + x = 0 fI + 0 = 4 + x fI = 4 + x Divide each side by 'I'. f = 4I-1 + xI-1 Simplifying f = 4I-1 + xI-1
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