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Simplifying x + (x + 7) + (x + 7 + 25) = 102 Reorder the terms: x + (7 + x) + (x + 7 + 25) = 102 Remove parenthesis around (7 + x) x + 7 + x + (x + 7 + 25) = 102 Reorder the terms: x + 7 + x + (7 + 25 + x) = 102 Combine like terms: 7 + 25 = 32 x + 7 + x + (32 + x) = 102 Remove parenthesis around (32 + x) x + 7 + x + 32 + x = 102 Reorder the terms: 7 + 32 + x + x + x = 102 Combine like terms: 7 + 32 = 39 39 + x + x + x = 102 Combine like terms: x + x = 2x 39 + 2x + x = 102 Combine like terms: 2x + x = 3x 39 + 3x = 102 Solving 39 + 3x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 3x = 102 + -39 Combine like terms: 39 + -39 = 0 0 + 3x = 102 + -39 3x = 102 + -39 Combine like terms: 102 + -39 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21
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