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Simplifying 5x + (3n + -7x) + 8x + 2x + 7x + -5x = 0 Remove parenthesis around (3n + -7x) 5x + 3n + -7x + 8x + 2x + 7x + -5x = 0 Reorder the terms: 3n + 5x + -7x + 8x + 2x + 7x + -5x = 0 Combine like terms: 5x + -7x = -2x 3n + -2x + 8x + 2x + 7x + -5x = 0 Combine like terms: -2x + 8x = 6x 3n + 6x + 2x + 7x + -5x = 0 Combine like terms: 6x + 2x = 8x 3n + 8x + 7x + -5x = 0 Combine like terms: 8x + 7x = 15x 3n + 15x + -5x = 0 Combine like terms: 15x + -5x = 10x 3n + 10x = 0 Solving 3n + 10x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10x' to each side of the equation. 3n + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 3n + 0 = 0 + -10x 3n = 0 + -10x Remove the zero: 3n = -10x Divide each side by '3'. n = -3.333333333x Simplifying n = -3.333333333x
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