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Simplifying (x + 3) + (x + -1) + (x + 23) = 52 Reorder the terms: (3 + x) + (x + -1) + (x + 23) = 52 Remove parenthesis around (3 + x) 3 + x + (x + -1) + (x + 23) = 52 Reorder the terms: 3 + x + (-1 + x) + (x + 23) = 52 Remove parenthesis around (-1 + x) 3 + x + -1 + x + (x + 23) = 52 Reorder the terms: 3 + x + -1 + x + (23 + x) = 52 Remove parenthesis around (23 + x) 3 + x + -1 + x + 23 + x = 52 Reorder the terms: 3 + -1 + 23 + x + x + x = 52 Combine like terms: 3 + -1 = 2 2 + 23 + x + x + x = 52 Combine like terms: 2 + 23 = 25 25 + x + x + x = 52 Combine like terms: x + x = 2x 25 + 2x + x = 52 Combine like terms: 2x + x = 3x 25 + 3x = 52 Solving 25 + 3x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3x = 52 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 52 + -25 3x = 52 + -25 Combine like terms: 52 + -25 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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