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Simplifying 2(5000) + 50x = 30(5000 + x) Multiply 2 * 5000 10000 + 50x = 30(5000 + x) 10000 + 50x = (5000 * 30 + x * 30) 10000 + 50x = (150000 + 30x) Solving 10000 + 50x = 150000 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 10000 + 50x + -30x = 150000 + 30x + -30x Combine like terms: 50x + -30x = 20x 10000 + 20x = 150000 + 30x + -30x Combine like terms: 30x + -30x = 0 10000 + 20x = 150000 + 0 10000 + 20x = 150000 Add '-10000' to each side of the equation. 10000 + -10000 + 20x = 150000 + -10000 Combine like terms: 10000 + -10000 = 0 0 + 20x = 150000 + -10000 20x = 150000 + -10000 Combine like terms: 150000 + -10000 = 140000 20x = 140000 Divide each side by '20'. x = 7000 Simplifying x = 7000
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