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Simplifying 0.04 + 0.8(0.3 + 0.2x) = 0.44 0.04 + (0.3 * 0.8 + 0.2x * 0.8) = 0.44 0.04 + (0.24 + 0.16x) = 0.44 Combine like terms: 0.04 + 0.24 = 0.28 0.28 + 0.16x = 0.44 Solving 0.28 + 0.16x = 0.44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.28' to each side of the equation. 0.28 + -0.28 + 0.16x = 0.44 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + 0.16x = 0.44 + -0.28 0.16x = 0.44 + -0.28 Combine like terms: 0.44 + -0.28 = 0.16 0.16x = 0.16 Divide each side by '0.16'. x = 1 Simplifying x = 1
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