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Simplifying 2x + 9 + -6x = 2 + 8x + -17 Reorder the terms: 9 + 2x + -6x = 2 + 8x + -17 Combine like terms: 2x + -6x = -4x 9 + -4x = 2 + 8x + -17 Reorder the terms: 9 + -4x = 2 + -17 + 8x Combine like terms: 2 + -17 = -15 9 + -4x = -15 + 8x Solving 9 + -4x = -15 + 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. 9 + -4x + -8x = -15 + 8x + -8x Combine like terms: -4x + -8x = -12x 9 + -12x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -12x = -15 + 0 9 + -12x = -15 Add '-9' to each side of the equation. 9 + -9 + -12x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = -15 + -9 -12x = -15 + -9 Combine like terms: -15 + -9 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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