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Simplifying 7x + 35 = 5x + 45 Reorder the terms: 35 + 7x = 5x + 45 Reorder the terms: 35 + 7x = 45 + 5x Solving 35 + 7x = 45 + 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. 35 + 7x + -5x = 45 + 5x + -5x Combine like terms: 7x + -5x = 2x 35 + 2x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + 2x = 45 + 0 35 + 2x = 45 Add '-35' to each side of the equation. 35 + -35 + 2x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 45 + -35 2x = 45 + -35 Combine like terms: 45 + -35 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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