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Simplifying 0.06(x + 20) + 0.08(x + 10) = 4.6 Reorder the terms: 0.06(20 + x) + 0.08(x + 10) = 4.6 (20 * 0.06 + x * 0.06) + 0.08(x + 10) = 4.6 (1.2 + 0.06x) + 0.08(x + 10) = 4.6 Reorder the terms: 1.2 + 0.06x + 0.08(10 + x) = 4.6 1.2 + 0.06x + (10 * 0.08 + x * 0.08) = 4.6 1.2 + 0.06x + (0.8 + 0.08x) = 4.6 Reorder the terms: 1.2 + 0.8 + 0.06x + 0.08x = 4.6 Combine like terms: 1.2 + 0.8 = 2 2 + 0.06x + 0.08x = 4.6 Combine like terms: 0.06x + 0.08x = 0.14x 2 + 0.14x = 4.6 Solving 2 + 0.14x = 4.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.14x = 4.6 + -2 Combine like terms: 2 + -2 = 0 0 + 0.14x = 4.6 + -2 0.14x = 4.6 + -2 Combine like terms: 4.6 + -2 = 2.6 0.14x = 2.6 Divide each side by '0.14'. x = 18.57142857 Simplifying x = 18.57142857
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