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Simplifying 5000 = 20(40 + 2x) 5000 = (40 * 20 + 2x * 20) 5000 = (800 + 40x) Solving 5000 = 800 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 5000 + -40x = 800 + 40x + -40x Combine like terms: 40x + -40x = 0 5000 + -40x = 800 + 0 5000 + -40x = 800 Add '-5000' to each side of the equation. 5000 + -5000 + -40x = 800 + -5000 Combine like terms: 5000 + -5000 = 0 0 + -40x = 800 + -5000 -40x = 800 + -5000 Combine like terms: 800 + -5000 = -4200 -40x = -4200 Divide each side by '-40'. x = 105 Simplifying x = 105
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