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Simplifying 10006x + -1000 = 4654x + 41230 Reorder the terms: -1000 + 10006x = 4654x + 41230 Reorder the terms: -1000 + 10006x = 41230 + 4654x Solving -1000 + 10006x = 41230 + 4654x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4654x' to each side of the equation. -1000 + 10006x + -4654x = 41230 + 4654x + -4654x Combine like terms: 10006x + -4654x = 5352x -1000 + 5352x = 41230 + 4654x + -4654x Combine like terms: 4654x + -4654x = 0 -1000 + 5352x = 41230 + 0 -1000 + 5352x = 41230 Add '1000' to each side of the equation. -1000 + 1000 + 5352x = 41230 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 5352x = 41230 + 1000 5352x = 41230 + 1000 Combine like terms: 41230 + 1000 = 42230 5352x = 42230 Divide each side by '5352'. x = 7.890508221 Simplifying x = 7.890508221
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