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Simplifying 0.2(5000) + 0.3x = 0.025(5000 + x) Multiply 0.2 * 5000 1000 + 0.3x = 0.025(5000 + x) 1000 + 0.3x = (5000 * 0.025 + x * 0.025) 1000 + 0.3x = (125 + 0.025x) Solving 1000 + 0.3x = 125 + 0.025x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.025x' to each side of the equation. 1000 + 0.3x + -0.025x = 125 + 0.025x + -0.025x Combine like terms: 0.3x + -0.025x = 0.275x 1000 + 0.275x = 125 + 0.025x + -0.025x Combine like terms: 0.025x + -0.025x = 0.000 1000 + 0.275x = 125 + 0.000 1000 + 0.275x = 125 Add '-1000' to each side of the equation. 1000 + -1000 + 0.275x = 125 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 0.275x = 125 + -1000 0.275x = 125 + -1000 Combine like terms: 125 + -1000 = -875 0.275x = -875 Divide each side by '0.275'. x = -3181.818182 Simplifying x = -3181.818182
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