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Simplifying x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10) + (x + 12) = 0 Reorder the terms: x + (2 + x) + (x + 4) + (x + 6) + (x + 8) + (x + 10) + (x + 12) = 0 Remove parenthesis around (2 + x) x + 2 + x + (x + 4) + (x + 6) + (x + 8) + (x + 10) + (x + 12) = 0 Reorder the terms: x + 2 + x + (4 + x) + (x + 6) + (x + 8) + (x + 10) + (x + 12) = 0 Remove parenthesis around (4 + x) x + 2 + x + 4 + x + (x + 6) + (x + 8) + (x + 10) + (x + 12) = 0 Reorder the terms: x + 2 + x + 4 + x + (6 + x) + (x + 8) + (x + 10) + (x + 12) = 0 Remove parenthesis around (6 + x) x + 2 + x + 4 + x + 6 + x + (x + 8) + (x + 10) + (x + 12) = 0 Reorder the terms: x + 2 + x + 4 + x + 6 + x + (8 + x) + (x + 10) + (x + 12) = 0 Remove parenthesis around (8 + x) x + 2 + x + 4 + x + 6 + x + 8 + x + (x + 10) + (x + 12) = 0 Reorder the terms: x + 2 + x + 4 + x + 6 + x + 8 + x + (10 + x) + (x + 12) = 0 Remove parenthesis around (10 + x) x + 2 + x + 4 + x + 6 + x + 8 + x + 10 + x + (x + 12) = 0 Reorder the terms: x + 2 + x + 4 + x + 6 + x + 8 + x + 10 + x + (12 + x) = 0 Remove parenthesis around (12 + x) x + 2 + x + 4 + x + 6 + x + 8 + x + 10 + x + 12 + x = 0 Reorder the terms: 2 + 4 + 6 + 8 + 10 + 12 + x + x + x + x + x + x + x = 0 Combine like terms: 2 + 4 = 6 6 + 6 + 8 + 10 + 12 + x + x + x + x + x + x + x = 0 Combine like terms: 6 + 6 = 12 12 + 8 + 10 + 12 + x + x + x + x + x + x + x = 0 Combine like terms: 12 + 8 = 20 20 + 10 + 12 + x + x + x + x + x + x + x = 0 Combine like terms: 20 + 10 = 30 30 + 12 + x + x + x + x + x + x + x = 0 Combine like terms: 30 + 12 = 42 42 + x + x + x + x + x + x + x = 0 Combine like terms: x + x = 2x 42 + 2x + x + x + x + x + x = 0 Combine like terms: 2x + x = 3x 42 + 3x + x + x + x + x = 0 Combine like terms: 3x + x = 4x 42 + 4x + x + x + x = 0 Combine like terms: 4x + x = 5x 42 + 5x + x + x = 0 Combine like terms: 5x + x = 6x 42 + 6x + x = 0 Combine like terms: 6x + x = 7x 42 + 7x = 0 Solving 42 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 7x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 0 + -42 7x = 0 + -42 Combine like terms: 0 + -42 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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