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Simplifying 0.05(x + 4) + 0.10(x) = 1.25 Reorder the terms: 0.05(4 + x) + 0.10(x) = 1.25 (4 * 0.05 + x * 0.05) + 0.10(x) = 1.25 (0.2 + 0.05x) + 0.10(x) = 1.25 Combine like terms: 0.05x + 0.10x = 0.15x 0.2 + 0.15x = 1.25 Solving 0.2 + 0.15x = 1.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.15x = 1.25 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.15x = 1.25 + -0.2 0.15x = 1.25 + -0.2 Combine like terms: 1.25 + -0.2 = 1.05 0.15x = 1.05 Divide each side by '0.15'. x = 7 Simplifying x = 7
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