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Simplifying 13000 + 750x = 30500 + -1000x Solving 13000 + 750x = 30500 + -1000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1000x' to each side of the equation. 13000 + 750x + 1000x = 30500 + -1000x + 1000x Combine like terms: 750x + 1000x = 1750x 13000 + 1750x = 30500 + -1000x + 1000x Combine like terms: -1000x + 1000x = 0 13000 + 1750x = 30500 + 0 13000 + 1750x = 30500 Add '-13000' to each side of the equation. 13000 + -13000 + 1750x = 30500 + -13000 Combine like terms: 13000 + -13000 = 0 0 + 1750x = 30500 + -13000 1750x = 30500 + -13000 Combine like terms: 30500 + -13000 = 17500 1750x = 17500 Divide each side by '1750'. x = 10 Simplifying x = 10
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