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Simplifying 2x + -9 + -5x = 17 + -3x + -42 + 8x Reorder the terms: -9 + 2x + -5x = 17 + -3x + -42 + 8x Combine like terms: 2x + -5x = -3x -9 + -3x = 17 + -3x + -42 + 8x Reorder the terms: -9 + -3x = 17 + -42 + -3x + 8x Combine like terms: 17 + -42 = -25 -9 + -3x = -25 + -3x + 8x Combine like terms: -3x + 8x = 5x -9 + -3x = -25 + 5x Solving -9 + -3x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + -3x + -5x = -25 + 5x + -5x Combine like terms: -3x + -5x = -8x -9 + -8x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -8x = -25 + 0 -9 + -8x = -25 Add '9' to each side of the equation. -9 + 9 + -8x = -25 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = -25 + 9 -8x = -25 + 9 Combine like terms: -25 + 9 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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