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Simplifying 5 = 0.1x + 0.4 Reorder the terms: 5 = 0.4 + 0.1x Solving 5 = 0.4 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 5 + -0.1x = 0.4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 5 + -0.1x = 0.4 + 0.0 5 + -0.1x = 0.4 Add '-5' to each side of the equation. 5 + -5 + -0.1x = 0.4 + -5 Combine like terms: 5 + -5 = 0 0 + -0.1x = 0.4 + -5 -0.1x = 0.4 + -5 Combine like terms: 0.4 + -5 = -4.6 -0.1x = -4.6 Divide each side by '-0.1'. x = 46 Simplifying x = 46
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