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Simplifying -5x + -25 = 5x + -8x + 17 Reorder the terms: -25 + -5x = 5x + -8x + 17 Reorder the terms: -25 + -5x = 17 + 5x + -8x Combine like terms: 5x + -8x = -3x -25 + -5x = 17 + -3x Solving -25 + -5x = 17 + -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. -25 + -5x + 3x = 17 + -3x + 3x Combine like terms: -5x + 3x = -2x -25 + -2x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 -25 + -2x = 17 + 0 -25 + -2x = 17 Add '25' to each side of the equation. -25 + 25 + -2x = 17 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 17 + 25 -2x = 17 + 25 Combine like terms: 17 + 25 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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