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Simplifying (1 + 2 + 3 + 4 + 5) * x = x + 2x + 3x + 4x + 25 Combine like terms: 1 + 2 = 3 (3 + 3 + 4 + 5) * x = x + 2x + 3x + 4x + 25 Combine like terms: 3 + 3 = 6 (6 + 4 + 5) * x = x + 2x + 3x + 4x + 25 Combine like terms: 6 + 4 = 10 (10 + 5) * x = x + 2x + 3x + 4x + 25 Combine like terms: 10 + 5 = 15 (15) * x = x + 2x + 3x + 4x + 25 Reorder the terms: 15x = 25 + x + 2x + 3x + 4x Combine like terms: x + 2x = 3x 15x = 25 + 3x + 3x + 4x Combine like terms: 3x + 3x = 6x 15x = 25 + 6x + 4x Combine like terms: 6x + 4x = 10x 15x = 25 + 10x Solving 15x = 25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15x + -10x = 25 + 10x + -10x Combine like terms: 15x + -10x = 5x 5x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 5x = 25 + 0 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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