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Simplifying 6x + 3500 = 4x + 4000 Reorder the terms: 3500 + 6x = 4x + 4000 Reorder the terms: 3500 + 6x = 4000 + 4x Solving 3500 + 6x = 4000 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3500 + 6x + -4x = 4000 + 4x + -4x Combine like terms: 6x + -4x = 2x 3500 + 2x = 4000 + 4x + -4x Combine like terms: 4x + -4x = 0 3500 + 2x = 4000 + 0 3500 + 2x = 4000 Add '-3500' to each side of the equation. 3500 + -3500 + 2x = 4000 + -3500 Combine like terms: 3500 + -3500 = 0 0 + 2x = 4000 + -3500 2x = 4000 + -3500 Combine like terms: 4000 + -3500 = 500 2x = 500 Divide each side by '2'. x = 250 Simplifying x = 250
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