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Simplifying 7x + 35 = 5x + 23 Reorder the terms: 35 + 7x = 5x + 23 Reorder the terms: 35 + 7x = 23 + 5x Solving 35 + 7x = 23 + 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 = 23 + 5x + -5x Combine like terms: 7x + -5x = 2x 35 + 2x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + 2x = 23 + 0 35 + 2x = 23 Add '-35' to each side of the equation. 35 + -35 + 2x = 23 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 23 + -35 2x = 23 + -35 Combine like terms: 23 + -35 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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