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Simplifying 32000 + 500x = 45000 + -1000x Solving 32000 + 500x = 45000 + -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. 32000 + 500x + 1000x = 45000 + -1000x + 1000x Combine like terms: 500x + 1000x = 1500x 32000 + 1500x = 45000 + -1000x + 1000x Combine like terms: -1000x + 1000x = 0 32000 + 1500x = 45000 + 0 32000 + 1500x = 45000 Add '-32000' to each side of the equation. 32000 + -32000 + 1500x = 45000 + -32000 Combine like terms: 32000 + -32000 = 0 0 + 1500x = 45000 + -32000 1500x = 45000 + -32000 Combine like terms: 45000 + -32000 = 13000 1500x = 13000 Divide each side by '1500'. x = 8.666666667 Simplifying x = 8.666666667
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