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Simplifying 0.8 + 5 * 0.2 + 8 * 0.2 + x * 0.5 = 7.0 Multiply 5 * 0.2 0.8 + 1 + 8 * 0.2 + x * 0.5 = 7.0 Multiply 8 * 0.2 0.8 + 1 + 1.6 + x * 0.5 = 7.0 Reorder the terms for easier multiplication: 0.8 + 1 + 1.6 + 0.5x = 7.0 Combine like terms: 0.8 + 1 = 1.8 1.8 + 1.6 + 0.5x = 7.0 Combine like terms: 1.8 + 1.6 = 3.4 3.4 + 0.5x = 7.0 Solving 3.4 + 0.5x = 7.0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4' to each side of the equation. 3.4 + -3.4 + 0.5x = 7.0 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + 0.5x = 7.0 + -3.4 0.5x = 7.0 + -3.4 Combine like terms: 7.0 + -3.4 = 3.6 0.5x = 3.6 Divide each side by '0.5'. x = 7.2 Simplifying x = 7.2
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