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Simplifying 10 + 0.10x = 12 + 0.05x Solving 10 + 0.10x = 12 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 10 + 0.10x + -0.05x = 12 + 0.05x + -0.05x Combine like terms: 0.10x + -0.05x = 0.05x 10 + 0.05x = 12 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 10 + 0.05x = 12 + 0.00 10 + 0.05x = 12 Add '-10' to each side of the equation. 10 + -10 + 0.05x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 0.05x = 12 + -10 0.05x = 12 + -10 Combine like terms: 12 + -10 = 2 0.05x = 2 Divide each side by '0.05'. x = 40 Simplifying x = 40
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