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Simplifying 8x + -9 + x + -17 = 3x + 4 + 8x + -12 Reorder the terms: -9 + -17 + 8x + x = 3x + 4 + 8x + -12 Combine like terms: -9 + -17 = -26 -26 + 8x + x = 3x + 4 + 8x + -12 Combine like terms: 8x + x = 9x -26 + 9x = 3x + 4 + 8x + -12 Reorder the terms: -26 + 9x = 4 + -12 + 3x + 8x Combine like terms: 4 + -12 = -8 -26 + 9x = -8 + 3x + 8x Combine like terms: 3x + 8x = 11x -26 + 9x = -8 + 11x Solving -26 + 9x = -8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -26 + 9x + -11x = -8 + 11x + -11x Combine like terms: 9x + -11x = -2x -26 + -2x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 -26 + -2x = -8 + 0 -26 + -2x = -8 Add '26' to each side of the equation. -26 + 26 + -2x = -8 + 26 Combine like terms: -26 + 26 = 0 0 + -2x = -8 + 26 -2x = -8 + 26 Combine like terms: -8 + 26 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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