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Simplifying 0.16x + 17(0.02x + 1) = 23 Reorder the terms: 0.16x + 17(1 + 0.02x) = 23 0.16x + (1 * 17 + 0.02x * 17) = 23 0.16x + (17 + 0.34x) = 23 Reorder the terms: 17 + 0.16x + 0.34x = 23 Combine like terms: 0.16x + 0.34x = 0.5x 17 + 0.5x = 23 Solving 17 + 0.5x = 23 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 + 0.5x = 23 + -17 Combine like terms: 17 + -17 = 0 0 + 0.5x = 23 + -17 0.5x = 23 + -17 Combine like terms: 23 + -17 = 6 0.5x = 6 Divide each side by '0.5'. x = 12 Simplifying x = 12
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