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Simplifying 7x + 105 = 5x + 175 Reorder the terms: 105 + 7x = 5x + 175 Reorder the terms: 105 + 7x = 175 + 5x Solving 105 + 7x = 175 + 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. 105 + 7x + -5x = 175 + 5x + -5x Combine like terms: 7x + -5x = 2x 105 + 2x = 175 + 5x + -5x Combine like terms: 5x + -5x = 0 105 + 2x = 175 + 0 105 + 2x = 175 Add '-105' to each side of the equation. 105 + -105 + 2x = 175 + -105 Combine like terms: 105 + -105 = 0 0 + 2x = 175 + -105 2x = 175 + -105 Combine like terms: 175 + -105 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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