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Simplifying x = 45 + 0.3(30 + 0.2x) x = 45 + (30 * 0.3 + 0.2x * 0.3) x = 45 + (9 + 0.06x) Combine like terms: 45 + 9 = 54 x = 54 + 0.06x Solving x = 54 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. x + -0.06x = 54 + 0.06x + -0.06x Combine like terms: x + -0.06x = 0.94x 0.94x = 54 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.94x = 54 + 0.00 0.94x = 54 Divide each side by '0.94'. x = 57.44680851 Simplifying x = 57.44680851
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