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Simplifying 0.05(x + 5) + 0.10(x) = 1.25 Reorder the terms: 0.05(5 + x) + 0.10(x) = 1.25 (5 * 0.05 + x * 0.05) + 0.10(x) = 1.25 (0.25 + 0.05x) + 0.10(x) = 1.25 Combine like terms: 0.05x + 0.10x = 0.15x 0.25 + 0.15x = 1.25 Solving 0.25 + 0.15x = 1.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.15x = 1.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.15x = 1.25 + -0.25 0.15x = 1.25 + -0.25 Combine like terms: 1.25 + -0.25 = 1 0.15x = 1 Divide each side by '0.15'. x = 6.666666667 Simplifying x = 6.666666667
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