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Simplifying 7x + 23 = 5x + -17 Reorder the terms: 23 + 7x = 5x + -17 Reorder the terms: 23 + 7x = -17 + 5x Solving 23 + 7x = -17 + 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 = -17 + 5x + -5x Combine like terms: 7x + -5x = 2x 23 + 2x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + 2x = -17 + 0 23 + 2x = -17 Add '-23' to each side of the equation. 23 + -23 + 2x = -17 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = -17 + -23 2x = -17 + -23 Combine like terms: -17 + -23 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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