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Simplifying 0.05x + 50 = 0.15x + 10 Reorder the terms: 50 + 0.05x = 0.15x + 10 Reorder the terms: 50 + 0.05x = 10 + 0.15x Solving 50 + 0.05x = 10 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 50 + 0.05x + -0.15x = 10 + 0.15x + -0.15x Combine like terms: 0.05x + -0.15x = -0.1x 50 + -0.1x = 10 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 50 + -0.1x = 10 + 0.00 50 + -0.1x = 10 Add '-50' to each side of the equation. 50 + -50 + -0.1x = 10 + -50 Combine like terms: 50 + -50 = 0 0 + -0.1x = 10 + -50 -0.1x = 10 + -50 Combine like terms: 10 + -50 = -40 -0.1x = -40 Divide each side by '-0.1'. x = 400 Simplifying x = 400
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