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Simplifying -6 + -11 = 9x + 15 + -8x Combine like terms: -6 + -11 = -17 -17 = 9x + 15 + -8x Reorder the terms: -17 = 15 + 9x + -8x Combine like terms: 9x + -8x = 1x -17 = 15 + 1x Solving -17 = 15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + -1x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 -17 + -1x = 15 + 0 -17 + -1x = 15 Add '17' to each side of the equation. -17 + 17 + -1x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 15 + 17 -1x = 15 + 17 Combine like terms: 15 + 17 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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