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Simplifying (x + 10) + (x + 20) + (x + 30) + (x + 40) = 504 Reorder the terms: (10 + x) + (x + 20) + (x + 30) + (x + 40) = 504 Remove parenthesis around (10 + x) 10 + x + (x + 20) + (x + 30) + (x + 40) = 504 Reorder the terms: 10 + x + (20 + x) + (x + 30) + (x + 40) = 504 Remove parenthesis around (20 + x) 10 + x + 20 + x + (x + 30) + (x + 40) = 504 Reorder the terms: 10 + x + 20 + x + (30 + x) + (x + 40) = 504 Remove parenthesis around (30 + x) 10 + x + 20 + x + 30 + x + (x + 40) = 504 Reorder the terms: 10 + x + 20 + x + 30 + x + (40 + x) = 504 Remove parenthesis around (40 + x) 10 + x + 20 + x + 30 + x + 40 + x = 504 Reorder the terms: 10 + 20 + 30 + 40 + x + x + x + x = 504 Combine like terms: 10 + 20 = 30 30 + 30 + 40 + x + x + x + x = 504 Combine like terms: 30 + 30 = 60 60 + 40 + x + x + x + x = 504 Combine like terms: 60 + 40 = 100 100 + x + x + x + x = 504 Combine like terms: x + x = 2x 100 + 2x + x + x = 504 Combine like terms: 2x + x = 3x 100 + 3x + x = 504 Combine like terms: 3x + x = 4x 100 + 4x = 504 Solving 100 + 4x = 504 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 4x = 504 + -100 Combine like terms: 100 + -100 = 0 0 + 4x = 504 + -100 4x = 504 + -100 Combine like terms: 504 + -100 = 404 4x = 404 Divide each side by '4'. x = 101 Simplifying x = 101
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