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Simplifying 3x + 23 = 12x + 20 + 13x + 25 Reorder the terms: 23 + 3x = 12x + 20 + 13x + 25 Reorder the terms: 23 + 3x = 20 + 25 + 12x + 13x Combine like terms: 20 + 25 = 45 23 + 3x = 45 + 12x + 13x Combine like terms: 12x + 13x = 25x 23 + 3x = 45 + 25x Solving 23 + 3x = 45 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 23 + 3x + -25x = 45 + 25x + -25x Combine like terms: 3x + -25x = -22x 23 + -22x = 45 + 25x + -25x Combine like terms: 25x + -25x = 0 23 + -22x = 45 + 0 23 + -22x = 45 Add '-23' to each side of the equation. 23 + -23 + -22x = 45 + -23 Combine like terms: 23 + -23 = 0 0 + -22x = 45 + -23 -22x = 45 + -23 Combine like terms: 45 + -23 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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