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Simplifying -23 + 7x = 5x + 35 Reorder the terms: -23 + 7x = 35 + 5x Solving -23 + 7x = 35 + 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. -23 + 7x + -5x = 35 + 5x + -5x Combine like terms: 7x + -5x = 2x -23 + 2x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -23 + 2x = 35 + 0 -23 + 2x = 35 Add '23' to each side of the equation. -23 + 23 + 2x = 35 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = 35 + 23 2x = 35 + 23 Combine like terms: 35 + 23 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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