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Simplifying -8x + 6 + 9x = -17 + 2x Reorder the terms: 6 + -8x + 9x = -17 + 2x Combine like terms: -8x + 9x = 1x 6 + 1x = -17 + 2x Solving 6 + 1x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 1x + -2x = -17 + 2x + -2x Combine like terms: 1x + -2x = -1x 6 + -1x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = -17 + 0 6 + -1x = -17 Add '-6' to each side of the equation. 6 + -6 + -1x = -17 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -17 + -6 -1x = -17 + -6 Combine like terms: -17 + -6 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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