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Simplifying x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 240 Reorder the terms: 1 + 2 + 3 + 4 + 5 + x + x + x + x + x + x = 240 Combine like terms: 1 + 2 = 3 3 + 3 + 4 + 5 + x + x + x + x + x + x = 240 Combine like terms: 3 + 3 = 6 6 + 4 + 5 + x + x + x + x + x + x = 240 Combine like terms: 6 + 4 = 10 10 + 5 + x + x + x + x + x + x = 240 Combine like terms: 10 + 5 = 15 15 + x + x + x + x + x + x = 240 Combine like terms: x + x = 2x 15 + 2x + x + x + x + x = 240 Combine like terms: 2x + x = 3x 15 + 3x + x + x + x = 240 Combine like terms: 3x + x = 4x 15 + 4x + x + x = 240 Combine like terms: 4x + x = 5x 15 + 5x + x = 240 Combine like terms: 5x + x = 6x 15 + 6x = 240 Solving 15 + 6x = 240 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6x = 240 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 240 + -15 6x = 240 + -15 Combine like terms: 240 + -15 = 225 6x = 225 Divide each side by '6'. x = 37.5 Simplifying x = 37.5
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