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Simplifying 0.05x + 35 = 0.1x + 5 Reorder the terms: 35 + 0.05x = 0.1x + 5 Reorder the terms: 35 + 0.05x = 5 + 0.1x Solving 35 + 0.05x = 5 + 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. 35 + 0.05x + -0.1x = 5 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 35 + -0.05x = 5 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 35 + -0.05x = 5 + 0.0 35 + -0.05x = 5 Add '-35' to each side of the equation. 35 + -35 + -0.05x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + -0.05x = 5 + -35 -0.05x = 5 + -35 Combine like terms: 5 + -35 = -30 -0.05x = -30 Divide each side by '-0.05'. x = 600 Simplifying x = 600
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