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Simplifying 8x + 3x + x + -17 = 22 + 6x + 5x Reorder the terms: -17 + 8x + 3x + x = 22 + 6x + 5x Combine like terms: 8x + 3x = 11x -17 + 11x + x = 22 + 6x + 5x Combine like terms: 11x + x = 12x -17 + 12x = 22 + 6x + 5x Combine like terms: 6x + 5x = 11x -17 + 12x = 22 + 11x Solving -17 + 12x = 22 + 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. -17 + 12x + -11x = 22 + 11x + -11x Combine like terms: 12x + -11x = 1x -17 + 1x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 -17 + 1x = 22 + 0 -17 + 1x = 22 Add '17' to each side of the equation. -17 + 17 + 1x = 22 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 22 + 17 1x = 22 + 17 Combine like terms: 22 + 17 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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