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Simplifying 0.15x + 20 = 0.10x + 30 Reorder the terms: 20 + 0.15x = 0.10x + 30 Reorder the terms: 20 + 0.15x = 30 + 0.10x Solving 20 + 0.15x = 30 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 20 + 0.15x + -0.10x = 30 + 0.10x + -0.10x Combine like terms: 0.15x + -0.10x = 0.05x 20 + 0.05x = 30 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 20 + 0.05x = 30 + 0.00 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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