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Simplifying 3x + 3.25(200 + -1x) = 200(3.2) 3x + (200 * 3.25 + -1x * 3.25) = 200(3.2) 3x + (650 + -3.25x) = 200(3.2) Reorder the terms: 650 + 3x + -3.25x = 200(3.2) Combine like terms: 3x + -3.25x = -0.25x 650 + -0.25x = 200(3.2) Multiply 200 * 3.2 650 + -0.25x = 640 Solving 650 + -0.25x = 640 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-650' to each side of the equation. 650 + -650 + -0.25x = 640 + -650 Combine like terms: 650 + -650 = 0 0 + -0.25x = 640 + -650 -0.25x = 640 + -650 Combine like terms: 640 + -650 = -10 -0.25x = -10 Divide each side by '-0.25'. x = 40 Simplifying x = 40
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