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Simplifying 6x + 22 + -1x = 17 + -6x + -6 Reorder the terms: 22 + 6x + -1x = 17 + -6x + -6 Combine like terms: 6x + -1x = 5x 22 + 5x = 17 + -6x + -6 Reorder the terms: 22 + 5x = 17 + -6 + -6x Combine like terms: 17 + -6 = 11 22 + 5x = 11 + -6x Solving 22 + 5x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 22 + 5x + 6x = 11 + -6x + 6x Combine like terms: 5x + 6x = 11x 22 + 11x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 22 + 11x = 11 + 0 22 + 11x = 11 Add '-22' to each side of the equation. 22 + -22 + 11x = 11 + -22 Combine like terms: 22 + -22 = 0 0 + 11x = 11 + -22 11x = 11 + -22 Combine like terms: 11 + -22 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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