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Simplifying 0.1(x + 40) + 0.1x = 5 Reorder the terms: 0.1(40 + x) + 0.1x = 5 (40 * 0.1 + x * 0.1) + 0.1x = 5 (4 + 0.1x) + 0.1x = 5 Combine like terms: 0.1x + 0.1x = 0.2x 4 + 0.2x = 5 Solving 4 + 0.2x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.2x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2x = 5 + -4 0.2x = 5 + -4 Combine like terms: 5 + -4 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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