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Simplifying x + (x + 6) + (x + 12) + (x + 18) + (x + 24) + (x + 30) + (x + 36) = 182 Reorder the terms: x + (6 + x) + (x + 12) + (x + 18) + (x + 24) + (x + 30) + (x + 36) = 182 Remove parenthesis around (6 + x) x + 6 + x + (x + 12) + (x + 18) + (x + 24) + (x + 30) + (x + 36) = 182 Reorder the terms: x + 6 + x + (12 + x) + (x + 18) + (x + 24) + (x + 30) + (x + 36) = 182 Remove parenthesis around (12 + x) x + 6 + x + 12 + x + (x + 18) + (x + 24) + (x + 30) + (x + 36) = 182 Reorder the terms: x + 6 + x + 12 + x + (18 + x) + (x + 24) + (x + 30) + (x + 36) = 182 Remove parenthesis around (18 + x) x + 6 + x + 12 + x + 18 + x + (x + 24) + (x + 30) + (x + 36) = 182 Reorder the terms: x + 6 + x + 12 + x + 18 + x + (24 + x) + (x + 30) + (x + 36) = 182 Remove parenthesis around (24 + x) x + 6 + x + 12 + x + 18 + x + 24 + x + (x + 30) + (x + 36) = 182 Reorder the terms: x + 6 + x + 12 + x + 18 + x + 24 + x + (30 + x) + (x + 36) = 182 Remove parenthesis around (30 + x) x + 6 + x + 12 + x + 18 + x + 24 + x + 30 + x + (x + 36) = 182 Reorder the terms: x + 6 + x + 12 + x + 18 + x + 24 + x + 30 + x + (36 + x) = 182 Remove parenthesis around (36 + x) x + 6 + x + 12 + x + 18 + x + 24 + x + 30 + x + 36 + x = 182 Reorder the terms: 6 + 12 + 18 + 24 + 30 + 36 + x + x + x + x + x + x + x = 182 Combine like terms: 6 + 12 = 18 18 + 18 + 24 + 30 + 36 + x + x + x + x + x + x + x = 182 Combine like terms: 18 + 18 = 36 36 + 24 + 30 + 36 + x + x + x + x + x + x + x = 182 Combine like terms: 36 + 24 = 60 60 + 30 + 36 + x + x + x + x + x + x + x = 182 Combine like terms: 60 + 30 = 90 90 + 36 + x + x + x + x + x + x + x = 182 Combine like terms: 90 + 36 = 126 126 + x + x + x + x + x + x + x = 182 Combine like terms: x + x = 2x 126 + 2x + x + x + x + x + x = 182 Combine like terms: 2x + x = 3x 126 + 3x + x + x + x + x = 182 Combine like terms: 3x + x = 4x 126 + 4x + x + x + x = 182 Combine like terms: 4x + x = 5x 126 + 5x + x + x = 182 Combine like terms: 5x + x = 6x 126 + 6x + x = 182 Combine like terms: 6x + x = 7x 126 + 7x = 182 Solving 126 + 7x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + 7x = 182 + -126 Combine like terms: 126 + -126 = 0 0 + 7x = 182 + -126 7x = 182 + -126 Combine like terms: 182 + -126 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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