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Simplifying 0.16 + 17(0.02x + 1) = 23 Reorder the terms: 0.16 + 17(1 + 0.02x) = 23 0.16 + (1 * 17 + 0.02x * 17) = 23 0.16 + (17 + 0.34x) = 23 Combine like terms: 0.16 + 17 = 17.16 17.16 + 0.34x = 23 Solving 17.16 + 0.34x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17.16' to each side of the equation. 17.16 + -17.16 + 0.34x = 23 + -17.16 Combine like terms: 17.16 + -17.16 = 0.00 0.00 + 0.34x = 23 + -17.16 0.34x = 23 + -17.16 Combine like terms: 23 + -17.16 = 5.84 0.34x = 5.84 Divide each side by '0.34'. x = 17.17647059 Simplifying x = 17.17647059
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