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Simplifying 0.05x + 0.10(x + 10) = 2.05 Reorder the terms: 0.05x + 0.10(10 + x) = 2.05 0.05x + (10 * 0.10 + x * 0.10) = 2.05 0.05x + (1 + 0.10x) = 2.05 Reorder the terms: 1 + 0.05x + 0.10x = 2.05 Combine like terms: 0.05x + 0.10x = 0.15x 1 + 0.15x = 2.05 Solving 1 + 0.15x = 2.05 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.15x = 2.05 + -1 Combine like terms: 1 + -1 = 0 0 + 0.15x = 2.05 + -1 0.15x = 2.05 + -1 Combine like terms: 2.05 + -1 = 1.05 0.15x = 1.05 Divide each side by '0.15'. x = 7 Simplifying x = 7
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