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Simplifying 0.01x + 0.14(x + 5000) = 850 Reorder the terms: 0.01x + 0.14(5000 + x) = 850 0.01x + (5000 * 0.14 + x * 0.14) = 850 0.01x + (700 + 0.14x) = 850 Reorder the terms: 700 + 0.01x + 0.14x = 850 Combine like terms: 0.01x + 0.14x = 0.15x 700 + 0.15x = 850 Solving 700 + 0.15x = 850 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-700' to each side of the equation. 700 + -700 + 0.15x = 850 + -700 Combine like terms: 700 + -700 = 0 0 + 0.15x = 850 + -700 0.15x = 850 + -700 Combine like terms: 850 + -700 = 150 0.15x = 150 Divide each side by '0.15'. x = 1000 Simplifying x = 1000
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