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Simplifying 0.1(x + 40) + 0.1 = 5 Reorder the terms: 0.1(40 + x) + 0.1 = 5 (40 * 0.1 + x * 0.1) + 0.1 = 5 (4 + 0.1x) + 0.1 = 5 Reorder the terms: 4 + 0.1 + 0.1x = 5 Combine like terms: 4 + 0.1 = 4.1 4.1 + 0.1x = 5 Solving 4.1 + 0.1x = 5 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 + 0.1x = 5 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 0.1x = 5 + -4.1 0.1x = 5 + -4.1 Combine like terms: 5 + -4.1 = 0.9 0.1x = 0.9 Divide each side by '0.1'. x = 9 Simplifying x = 9
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