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Simplifying 0.016(500) + 0.08x = 0.04(500 + x) Multiply 0.016 * 500 8 + 0.08x = 0.04(500 + x) 8 + 0.08x = (500 * 0.04 + x * 0.04) 8 + 0.08x = (20 + 0.04x) Solving 8 + 0.08x = 20 + 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. 8 + 0.08x + -0.04x = 20 + 0.04x + -0.04x Combine like terms: 0.08x + -0.04x = 0.04x 8 + 0.04x = 20 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 8 + 0.04x = 20 + 0.00 8 + 0.04x = 20 Add '-8' to each side of the equation. 8 + -8 + 0.04x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 0.04x = 20 + -8 0.04x = 20 + -8 Combine like terms: 20 + -8 = 12 0.04x = 12 Divide each side by '0.04'. x = 300 Simplifying x = 300
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