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Simplifying 0.025x + 0.10(200 + -1x) = 0.04(200) 0.025x + (200 * 0.10 + -1x * 0.10) = 0.04(200) 0.025x + (20 + -0.1x) = 0.04(200) Reorder the terms: 20 + 0.025x + -0.1x = 0.04(200) Combine like terms: 0.025x + -0.1x = -0.075x 20 + -0.075x = 0.04(200) Multiply 0.04 * 200 20 + -0.075x = 8 Solving 20 + -0.075x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -0.075x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -0.075x = 8 + -20 -0.075x = 8 + -20 Combine like terms: 8 + -20 = -12 -0.075x = -12 Divide each side by '-0.075'. x = 160 Simplifying x = 160
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