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Simplifying 0.1x + 0.5(x + 6) = 6 Reorder the terms: 0.1x + 0.5(6 + x) = 6 0.1x + (6 * 0.5 + x * 0.5) = 6 0.1x + (3 + 0.5x) = 6 Reorder the terms: 3 + 0.1x + 0.5x = 6 Combine like terms: 0.1x + 0.5x = 0.6x 3 + 0.6x = 6 Solving 3 + 0.6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.6x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 0.6x = 6 + -3 0.6x = 6 + -3 Combine like terms: 6 + -3 = 3 0.6x = 3 Divide each side by '0.6'. x = 5 Simplifying x = 5
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