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Simplifying 0.02(4000) + 0.05x = 0.04(x + 4000) Multiply 0.02 * 4000 80 + 0.05x = 0.04(x + 4000) Reorder the terms: 80 + 0.05x = 0.04(4000 + x) 80 + 0.05x = (4000 * 0.04 + x * 0.04) 80 + 0.05x = (160 + 0.04x) Solving 80 + 0.05x = 160 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 80 + 0.05x + -0.04x = 160 + 0.04x + -0.04x Combine like terms: 0.05x + -0.04x = 0.01x 80 + 0.01x = 160 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 80 + 0.01x = 160 + 0.00 80 + 0.01x = 160 Add '-80' to each side of the equation. 80 + -80 + 0.01x = 160 + -80 Combine like terms: 80 + -80 = 0 0 + 0.01x = 160 + -80 0.01x = 160 + -80 Combine like terms: 160 + -80 = 80 0.01x = 80 Divide each side by '0.01'. x = 8000 Simplifying x = 8000
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