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Simplifying 0.1x + 0.5(x + 4) = 5 Reorder the terms: 0.1x + 0.5(4 + x) = 5 0.1x + (4 * 0.5 + x * 0.5) = 5 0.1x + (2 + 0.5x) = 5 Reorder the terms: 2 + 0.1x + 0.5x = 5 Combine like terms: 0.1x + 0.5x = 0.6x 2 + 0.6x = 5 Solving 2 + 0.6x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.6x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 0.6x = 5 + -2 0.6x = 5 + -2 Combine like terms: 5 + -2 = 3 0.6x = 3 Divide each side by '0.6'. x = 5 Simplifying x = 5
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