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Simplifying 3x + 25 + 12x = 8x + -17 Reorder the terms: 25 + 3x + 12x = 8x + -17 Combine like terms: 3x + 12x = 15x 25 + 15x = 8x + -17 Reorder the terms: 25 + 15x = -17 + 8x Solving 25 + 15x = -17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 25 + 15x + -8x = -17 + 8x + -8x Combine like terms: 15x + -8x = 7x 25 + 7x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 7x = -17 + 0 25 + 7x = -17 Add '-25' to each side of the equation. 25 + -25 + 7x = -17 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = -17 + -25 7x = -17 + -25 Combine like terms: -17 + -25 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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