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Simplifying 8000x = 7 * 12 + (7 + -1x) * 6000 Multiply 7 * 12 8000x = 84 + (7 + -1x) * 6000 Reorder the terms for easier multiplication: 8000x = 84 + 6000(7 + -1x) 8000x = 84 + (7 * 6000 + -1x * 6000) 8000x = 84 + (42000 + -6000x) Combine like terms: 84 + 42000 = 42084 8000x = 42084 + -6000x Solving 8000x = 42084 + -6000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6000x' to each side of the equation. 8000x + 6000x = 42084 + -6000x + 6000x Combine like terms: 8000x + 6000x = 14000x 14000x = 42084 + -6000x + 6000x Combine like terms: -6000x + 6000x = 0 14000x = 42084 + 0 14000x = 42084 Divide each side by '14000'. x = 3.006 Simplifying x = 3.006
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