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Simplifying 12x + 21 = 25x + -34 Reorder the terms: 21 + 12x = 25x + -34 Reorder the terms: 21 + 12x = -34 + 25x Solving 21 + 12x = -34 + 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. 21 + 12x + -25x = -34 + 25x + -25x Combine like terms: 12x + -25x = -13x 21 + -13x = -34 + 25x + -25x Combine like terms: 25x + -25x = 0 21 + -13x = -34 + 0 21 + -13x = -34 Add '-21' to each side of the equation. 21 + -21 + -13x = -34 + -21 Combine like terms: 21 + -21 = 0 0 + -13x = -34 + -21 -13x = -34 + -21 Combine like terms: -34 + -21 = -55 -13x = -55 Divide each side by '-13'. x = 4.230769231 Simplifying x = 4.230769231
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