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Simplifying -9x + 8x + -17 = 3x + 15 Reorder the terms: -17 + -9x + 8x = 3x + 15 Combine like terms: -9x + 8x = -1x -17 + -1x = 3x + 15 Reorder the terms: -17 + -1x = 15 + 3x Solving -17 + -1x = 15 + 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. -17 + -1x + -3x = 15 + 3x + -3x Combine like terms: -1x + -3x = -4x -17 + -4x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + -4x = 15 + 0 -17 + -4x = 15 Add '17' to each side of the equation. -17 + 17 + -4x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = 15 + 17 -4x = 15 + 17 Combine like terms: 15 + 17 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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