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Simplifying x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 402 Reorder the terms: 2 + 4 + 6 + 8 + 10 + x + x + x + x + x + x = 402 Combine like terms: 2 + 4 = 6 6 + 6 + 8 + 10 + x + x + x + x + x + x = 402 Combine like terms: 6 + 6 = 12 12 + 8 + 10 + x + x + x + x + x + x = 402 Combine like terms: 12 + 8 = 20 20 + 10 + x + x + x + x + x + x = 402 Combine like terms: 20 + 10 = 30 30 + x + x + x + x + x + x = 402 Combine like terms: x + x = 2x 30 + 2x + x + x + x + x = 402 Combine like terms: 2x + x = 3x 30 + 3x + x + x + x = 402 Combine like terms: 3x + x = 4x 30 + 4x + x + x = 402 Combine like terms: 4x + x = 5x 30 + 5x + x = 402 Combine like terms: 5x + x = 6x 30 + 6x = 402 Solving 30 + 6x = 402 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6x = 402 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 402 + -30 6x = 402 + -30 Combine like terms: 402 + -30 = 372 6x = 372 Divide each side by '6'. x = 62 Simplifying x = 62
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