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Simplifying 0.5 + -0.08x = 0.004x + 0.2 Reorder the terms: 0.5 + -0.08x = 0.2 + 0.004x Solving 0.5 + -0.08x = 0.2 + 0.004x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.004x' to each side of the equation. 0.5 + -0.08x + -0.004x = 0.2 + 0.004x + -0.004x Combine like terms: -0.08x + -0.004x = -0.084x 0.5 + -0.084x = 0.2 + 0.004x + -0.004x Combine like terms: 0.004x + -0.004x = 0.000 0.5 + -0.084x = 0.2 + 0.000 0.5 + -0.084x = 0.2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.084x = 0.2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.084x = 0.2 + -0.5 -0.084x = 0.2 + -0.5 Combine like terms: 0.2 + -0.5 = -0.3 -0.084x = -0.3 Divide each side by '-0.084'. x = 3.571428571 Simplifying x = 3.571428571
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