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Simplifying 0.1 + 0.5(x + 8) = 7 Reorder the terms: 0.1 + 0.5(8 + x) = 7 0.1 + (8 * 0.5 + x * 0.5) = 7 0.1 + (4 + 0.5x) = 7 Combine like terms: 0.1 + 4 = 4.1 4.1 + 0.5x = 7 Solving 4.1 + 0.5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.1' to each side of the equation. 4.1 + -4.1 + 0.5x = 7 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 0.5x = 7 + -4.1 0.5x = 7 + -4.1 Combine like terms: 7 + -4.1 = 2.9 0.5x = 2.9 Divide each side by '0.5'. x = 5.8 Simplifying x = 5.8
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