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Simplifying x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 393 Reorder the terms: 1 + 2 + 3 + 4 + 5 + 6 + x + x + x + x + x + x = 393 Combine like terms: 1 + 2 = 3 3 + 3 + 4 + 5 + 6 + x + x + x + x + x + x = 393 Combine like terms: 3 + 3 = 6 6 + 4 + 5 + 6 + x + x + x + x + x + x = 393 Combine like terms: 6 + 4 = 10 10 + 5 + 6 + x + x + x + x + x + x = 393 Combine like terms: 10 + 5 = 15 15 + 6 + x + x + x + x + x + x = 393 Combine like terms: 15 + 6 = 21 21 + x + x + x + x + x + x = 393 Combine like terms: x + x = 2x 21 + 2x + x + x + x + x = 393 Combine like terms: 2x + x = 3x 21 + 3x + x + x + x = 393 Combine like terms: 3x + x = 4x 21 + 4x + x + x = 393 Combine like terms: 4x + x = 5x 21 + 5x + x = 393 Combine like terms: 5x + x = 6x 21 + 6x = 393 Solving 21 + 6x = 393 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 6x = 393 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 393 + -21 6x = 393 + -21 Combine like terms: 393 + -21 = 372 6x = 372 Divide each side by '6'. x = 62 Simplifying x = 62
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