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Simplifying 13 + 3x = 8n + -3(n + -4) Reorder the terms: 13 + 3x = 8n + -3(-4 + n) 13 + 3x = 8n + (-4 * -3 + n * -3) 13 + 3x = 8n + (12 + -3n) Reorder the terms: 13 + 3x = 12 + 8n + -3n Combine like terms: 8n + -3n = 5n 13 + 3x = 12 + 5n Solving 13 + 3x = 12 + 5n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3x = 12 + -13 + 5n Combine like terms: 13 + -13 = 0 0 + 3x = 12 + -13 + 5n 3x = 12 + -13 + 5n Combine like terms: 12 + -13 = -1 3x = -1 + 5n Divide each side by '3'. x = -0.3333333333 + 1.666666667n Simplifying x = -0.3333333333 + 1.666666667n
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