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Simplifying 0.1(x + 50) + 0.1x = 6 Reorder the terms: 0.1(50 + x) + 0.1x = 6 (50 * 0.1 + x * 0.1) + 0.1x = 6 (5 + 0.1x) + 0.1x = 6 Combine like terms: 0.1x + 0.1x = 0.2x 5 + 0.2x = 6 Solving 5 + 0.2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 0.2x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 0.2x = 6 + -5 0.2x = 6 + -5 Combine like terms: 6 + -5 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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