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Simplifying 0.05x + 0.10(x + 5) = 2.30 Reorder the terms: 0.05x + 0.10(5 + x) = 2.30 0.05x + (5 * 0.10 + x * 0.10) = 2.30 0.05x + (0.5 + 0.10x) = 2.30 Reorder the terms: 0.5 + 0.05x + 0.10x = 2.30 Combine like terms: 0.05x + 0.10x = 0.15x 0.5 + 0.15x = 2.30 Solving 0.5 + 0.15x = 2.30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.15x = 2.30 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.15x = 2.30 + -0.5 0.15x = 2.30 + -0.5 Combine like terms: 2.30 + -0.5 = 1.8 0.15x = 1.8 Divide each side by '0.15'. x = 12 Simplifying x = 12
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