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Simplifying 1000x + -90x + -8500 = 1500x + -150x + -14000 Reorder the terms: -8500 + 1000x + -90x = 1500x + -150x + -14000 Combine like terms: 1000x + -90x = 910x -8500 + 910x = 1500x + -150x + -14000 Reorder the terms: -8500 + 910x = -14000 + 1500x + -150x Combine like terms: 1500x + -150x = 1350x -8500 + 910x = -14000 + 1350x Solving -8500 + 910x = -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. -8500 + 910x + -1350x = -14000 + 1350x + -1350x Combine like terms: 910x + -1350x = -440x -8500 + -440x = -14000 + 1350x + -1350x Combine like terms: 1350x + -1350x = 0 -8500 + -440x = -14000 + 0 -8500 + -440x = -14000 Add '8500' to each side of the equation. -8500 + 8500 + -440x = -14000 + 8500 Combine like terms: -8500 + 8500 = 0 0 + -440x = -14000 + 8500 -440x = -14000 + 8500 Combine like terms: -14000 + 8500 = -5500 -440x = -5500 Divide each side by '-440'. x = 12.5 Simplifying x = 12.5
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