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Simplifying 7x + 200 = 5x + 500 Reorder the terms: 200 + 7x = 5x + 500 Reorder the terms: 200 + 7x = 500 + 5x Solving 200 + 7x = 500 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 200 + 7x + -5x = 500 + 5x + -5x Combine like terms: 7x + -5x = 2x 200 + 2x = 500 + 5x + -5x Combine like terms: 5x + -5x = 0 200 + 2x = 500 + 0 200 + 2x = 500 Add '-200' to each side of the equation. 200 + -200 + 2x = 500 + -200 Combine like terms: 200 + -200 = 0 0 + 2x = 500 + -200 2x = 500 + -200 Combine like terms: 500 + -200 = 300 2x = 300 Divide each side by '2'. x = 150 Simplifying x = 150
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