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Simplifying 2x + 23 = 5x + 17 Reorder the terms: 23 + 2x = 5x + 17 Reorder the terms: 23 + 2x = 17 + 5x Solving 23 + 2x = 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 + 2x + -5x = 17 + 5x + -5x Combine like terms: 2x + -5x = -3x 23 + -3x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + -3x = 17 + 0 23 + -3x = 17 Add '-23' to each side of the equation. 23 + -23 + -3x = 17 + -23 Combine like terms: 23 + -23 = 0 0 + -3x = 17 + -23 -3x = 17 + -23 Combine like terms: 17 + -23 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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