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Simplifying forx + (x + 2) + (x + 6) + (x + 12) + (x + 20) = 55 Reorder the terms: forx + (2 + x) + (x + 6) + (x + 12) + (x + 20) = 55 Remove parenthesis around (2 + x) forx + 2 + x + (x + 6) + (x + 12) + (x + 20) = 55 Reorder the terms: forx + 2 + x + (6 + x) + (x + 12) + (x + 20) = 55 Remove parenthesis around (6 + x) forx + 2 + x + 6 + x + (x + 12) + (x + 20) = 55 Reorder the terms: forx + 2 + x + 6 + x + (12 + x) + (x + 20) = 55 Remove parenthesis around (12 + x) forx + 2 + x + 6 + x + 12 + x + (x + 20) = 55 Reorder the terms: forx + 2 + x + 6 + x + 12 + x + (20 + x) = 55 Remove parenthesis around (20 + x) forx + 2 + x + 6 + x + 12 + x + 20 + x = 55 Reorder the terms: 2 + 6 + 12 + 20 + forx + x + x + x + x = 55 Combine like terms: 2 + 6 = 8 8 + 12 + 20 + forx + x + x + x + x = 55 Combine like terms: 8 + 12 = 20 20 + 20 + forx + x + x + x + x = 55 Combine like terms: 20 + 20 = 40 40 + forx + x + x + x + x = 55 Combine like terms: x + x = 2x 40 + forx + 2x + x + x = 55 Combine like terms: 2x + x = 3x 40 + forx + 3x + x = 55 Combine like terms: 3x + x = 4x 40 + forx + 4x = 55 Solving 40 + forx + 4x = 55 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + forx + -40 + 4x = 55 + -40 Reorder the terms: 40 + -40 + forx + 4x = 55 + -40 Combine like terms: 40 + -40 = 0 0 + forx + 4x = 55 + -40 forx + 4x = 55 + -40 Combine like terms: 55 + -40 = 15 forx + 4x = 15 Add '-4x' to each side of the equation. forx + 4x + -4x = 15 + -4x Combine like terms: 4x + -4x = 0 forx + 0 = 15 + -4x forx = 15 + -4x Divide each side by 'orx'. f = 15o-1r-1x-1 + -4o-1r-1 Simplifying f = 15o-1r-1x-1 + -4o-1r-1 Reorder the terms: f = -4o-1r-1 + 15o-1r-1x-1
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