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Simplifying 0.08(x) + 0.12(x + 250) = 348 Reorder the terms: 0.08x + 0.12(250 + x) = 348 0.08x + (250 * 0.12 + x * 0.12) = 348 0.08x + (30 + 0.12x) = 348 Reorder the terms: 30 + 0.08x + 0.12x = 348 Combine like terms: 0.08x + 0.12x = 0.2x 30 + 0.2x = 348 Solving 30 + 0.2x = 348 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 0.2x = 348 + -30 Combine like terms: 30 + -30 = 0 0 + 0.2x = 348 + -30 0.2x = 348 + -30 Combine like terms: 348 + -30 = 318 0.2x = 318 Divide each side by '0.2'. x = 1590 Simplifying x = 1590
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