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Simplifying 0.04x + 0.08(x + 500) = 82 Reorder the terms: 0.04x + 0.08(500 + x) = 82 0.04x + (500 * 0.08 + x * 0.08) = 82 0.04x + (40 + 0.08x) = 82 Reorder the terms: 40 + 0.04x + 0.08x = 82 Combine like terms: 0.04x + 0.08x = 0.12x 40 + 0.12x = 82 Solving 40 + 0.12x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.12x = 82 + -40 Combine like terms: 40 + -40 = 0 0 + 0.12x = 82 + -40 0.12x = 82 + -40 Combine like terms: 82 + -40 = 42 0.12x = 42 Divide each side by '0.12'. x = 350 Simplifying x = 350
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