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Simplifying 5x + 2x + -3 = 8n + -3(n + -4) Reorder the terms: -3 + 5x + 2x = 8n + -3(n + -4) Combine like terms: 5x + 2x = 7x -3 + 7x = 8n + -3(n + -4) Reorder the terms: -3 + 7x = 8n + -3(-4 + n) -3 + 7x = 8n + (-4 * -3 + n * -3) -3 + 7x = 8n + (12 + -3n) Reorder the terms: -3 + 7x = 12 + 8n + -3n Combine like terms: 8n + -3n = 5n -3 + 7x = 12 + 5n Solving -3 + 7x = 12 + 5n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 12 + 3 + 5n Combine like terms: -3 + 3 = 0 0 + 7x = 12 + 3 + 5n 7x = 12 + 3 + 5n Combine like terms: 12 + 3 = 15 7x = 15 + 5n Divide each side by '7'. x = 2.142857143 + 0.7142857143n Simplifying x = 2.142857143 + 0.7142857143n
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