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Simplifying 3x + 5000 = 6x + 10000 Reorder the terms: 5000 + 3x = 6x + 10000 Reorder the terms: 5000 + 3x = 10000 + 6x Solving 5000 + 3x = 10000 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5000 + 3x + -6x = 10000 + 6x + -6x Combine like terms: 3x + -6x = -3x 5000 + -3x = 10000 + 6x + -6x Combine like terms: 6x + -6x = 0 5000 + -3x = 10000 + 0 5000 + -3x = 10000 Add '-5000' to each side of the equation. 5000 + -5000 + -3x = 10000 + -5000 Combine like terms: 5000 + -5000 = 0 0 + -3x = 10000 + -5000 -3x = 10000 + -5000 Combine like terms: 10000 + -5000 = 5000 -3x = 5000 Divide each side by '-3'. x = -1666.666667 Simplifying x = -1666.666667
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