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Simplifying 7x + 100 = 5x + 500 Reorder the terms: 100 + 7x = 5x + 500 Reorder the terms: 100 + 7x = 500 + 5x Solving 100 + 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. 100 + 7x + -5x = 500 + 5x + -5x Combine like terms: 7x + -5x = 2x 100 + 2x = 500 + 5x + -5x Combine like terms: 5x + -5x = 0 100 + 2x = 500 + 0 100 + 2x = 500 Add '-100' to each side of the equation. 100 + -100 + 2x = 500 + -100 Combine like terms: 100 + -100 = 0 0 + 2x = 500 + -100 2x = 500 + -100 Combine like terms: 500 + -100 = 400 2x = 400 Divide each side by '2'. x = 200 Simplifying x = 200
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