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Simplifying 0.05x + 0.10(x + 3) = 2.40 Reorder the terms: 0.05x + 0.10(3 + x) = 2.40 0.05x + (3 * 0.10 + x * 0.10) = 2.40 0.05x + (0.3 + 0.10x) = 2.40 Reorder the terms: 0.3 + 0.05x + 0.10x = 2.40 Combine like terms: 0.05x + 0.10x = 0.15x 0.3 + 0.15x = 2.40 Solving 0.3 + 0.15x = 2.40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.15x = 2.40 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.15x = 2.40 + -0.3 0.15x = 2.40 + -0.3 Combine like terms: 2.40 + -0.3 = 2.1 0.15x = 2.1 Divide each side by '0.15'. x = 14 Simplifying x = 14
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