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Simplifying 2x + 6 + x + 3 + 3x + 8 = 47 Reorder the terms: 6 + 3 + 8 + 2x + x + 3x = 47 Combine like terms: 6 + 3 = 9 9 + 8 + 2x + x + 3x = 47 Combine like terms: 9 + 8 = 17 17 + 2x + x + 3x = 47 Combine like terms: 2x + x = 3x 17 + 3x + 3x = 47 Combine like terms: 3x + 3x = 6x 17 + 6x = 47 Solving 17 + 6x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 6x = 47 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = 47 + -17 6x = 47 + -17 Combine like terms: 47 + -17 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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