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Simplifying 0.09x + 0.14(10000 + -1x) = 1275 0.09x + (10000 * 0.14 + -1x * 0.14) = 1275 0.09x + (1400 + -0.14x) = 1275 Reorder the terms: 1400 + 0.09x + -0.14x = 1275 Combine like terms: 0.09x + -0.14x = -0.05x 1400 + -0.05x = 1275 Solving 1400 + -0.05x = 1275 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1400' to each side of the equation. 1400 + -1400 + -0.05x = 1275 + -1400 Combine like terms: 1400 + -1400 = 0 0 + -0.05x = 1275 + -1400 -0.05x = 1275 + -1400 Combine like terms: 1275 + -1400 = -125 -0.05x = -125 Divide each side by '-0.05'. x = 2500 Simplifying x = 2500
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