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Simplifying 0.4(6x + 0.8) * 0.18 = 0.5 Reorder the terms: 0.4(0.8 + 6x) * 0.18 = 0.5 Reorder the terms for easier multiplication: 0.4 * 0.18(0.8 + 6x) = 0.5 Multiply 0.4 * 0.18 0.072(0.8 + 6x) = 0.5 (0.8 * 0.072 + 6x * 0.072) = 0.5 (0.0576 + 0.432x) = 0.5 Solving 0.0576 + 0.432x = 0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.0576' to each side of the equation. 0.0576 + -0.0576 + 0.432x = 0.5 + -0.0576 Combine like terms: 0.0576 + -0.0576 = 0.0000 0.0000 + 0.432x = 0.5 + -0.0576 0.432x = 0.5 + -0.0576 Combine like terms: 0.5 + -0.0576 = 0.4424 0.432x = 0.4424 Divide each side by '0.432'. x = 1.024074074 Simplifying x = 1.024074074
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