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Simplifying 0.10(x + 4) + 0.05(x) = 1.25 Reorder the terms: 0.10(4 + x) + 0.05(x) = 1.25 (4 * 0.10 + x * 0.10) + 0.05(x) = 1.25 (0.4 + 0.10x) + 0.05(x) = 1.25 Combine like terms: 0.10x + 0.05x = 0.15x 0.4 + 0.15x = 1.25 Solving 0.4 + 0.15x = 1.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.15x = 1.25 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.15x = 1.25 + -0.4 0.15x = 1.25 + -0.4 Combine like terms: 1.25 + -0.4 = 0.85 0.15x = 0.85 Divide each side by '0.15'. x = 5.666666667 Simplifying x = 5.666666667
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