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Simplifying 2x + 12 = 25 + -1(3x + 2) Reorder the terms: 12 + 2x = 25 + -1(3x + 2) Reorder the terms: 12 + 2x = 25 + -1(2 + 3x) 12 + 2x = 25 + (2 * -1 + 3x * -1) 12 + 2x = 25 + (-2 + -3x) Combine like terms: 25 + -2 = 23 12 + 2x = 23 + -3x Solving 12 + 2x = 23 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 2x + 3x = 23 + -3x + 3x Combine like terms: 2x + 3x = 5x 12 + 5x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 5x = 23 + 0 12 + 5x = 23 Add '-12' to each side of the equation. 12 + -12 + 5x = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 23 + -12 5x = 23 + -12 Combine like terms: 23 + -12 = 11 5x = 11 Divide each side by '5'. x = 2.2 Simplifying x = 2.2
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