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Simplifying 0.08(x + 1000) = 3440 Reorder the terms: 0.08(1000 + x) = 3440 (1000 * 0.08 + x * 0.08) = 3440 (80 + 0.08x) = 3440 Solving 80 + 0.08x = 3440 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 0.08x = 3440 + -80 Combine like terms: 80 + -80 = 0 0 + 0.08x = 3440 + -80 0.08x = 3440 + -80 Combine like terms: 3440 + -80 = 3360 0.08x = 3360 Divide each side by '0.08'. x = 42000 Simplifying x = 42000
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