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Simplifying 1000x + -90 + -8500 = 1500x + -150x + -14000 Reorder the terms: -90 + -8500 + 1000x = 1500x + -150x + -14000 Combine like terms: -90 + -8500 = -8590 -8590 + 1000x = 1500x + -150x + -14000 Reorder the terms: -8590 + 1000x = -14000 + 1500x + -150x Combine like terms: 1500x + -150x = 1350x -8590 + 1000x = -14000 + 1350x Solving -8590 + 1000x = -14000 + 1350x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1350x' to each side of the equation. -8590 + 1000x + -1350x = -14000 + 1350x + -1350x Combine like terms: 1000x + -1350x = -350x -8590 + -350x = -14000 + 1350x + -1350x Combine like terms: 1350x + -1350x = 0 -8590 + -350x = -14000 + 0 -8590 + -350x = -14000 Add '8590' to each side of the equation. -8590 + 8590 + -350x = -14000 + 8590 Combine like terms: -8590 + 8590 = 0 0 + -350x = -14000 + 8590 -350x = -14000 + 8590 Combine like terms: -14000 + 8590 = -5410 -350x = -5410 Divide each side by '-350'. x = 15.45714286 Simplifying x = 15.45714286
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