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Simplifying 20 + 0.15x = 30 + 0.1x Solving 20 + 0.15x = 30 + 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. 20 + 0.15x + -0.1x = 30 + 0.1x + -0.1x Combine like terms: 0.15x + -0.1x = 0.05x 20 + 0.05x = 30 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 20 + 0.05x = 30 + 0.0 20 + 0.05x = 30 Add '-20' to each side of the equation. 20 + -20 + 0.05x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 0.05x = 30 + -20 0.05x = 30 + -20 Combine like terms: 30 + -20 = 10 0.05x = 10 Divide each side by '0.05'. x = 200 Simplifying x = 200
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