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Simplifying 5x + 17 + 2x + 20 + 4x + 14 = 161 Reorder the terms: 17 + 20 + 14 + 5x + 2x + 4x = 161 Combine like terms: 17 + 20 = 37 37 + 14 + 5x + 2x + 4x = 161 Combine like terms: 37 + 14 = 51 51 + 5x + 2x + 4x = 161 Combine like terms: 5x + 2x = 7x 51 + 7x + 4x = 161 Combine like terms: 7x + 4x = 11x 51 + 11x = 161 Solving 51 + 11x = 161 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 11x = 161 + -51 Combine like terms: 51 + -51 = 0 0 + 11x = 161 + -51 11x = 161 + -51 Combine like terms: 161 + -51 = 110 11x = 110 Divide each side by '11'. x = 10 Simplifying x = 10
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