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Simplifying 17x + -9x + -22 = x + 27 Reorder the terms: -22 + 17x + -9x = x + 27 Combine like terms: 17x + -9x = 8x -22 + 8x = x + 27 Reorder the terms: -22 + 8x = 27 + x Solving -22 + 8x = 27 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -22 + 8x + -1x = 27 + x + -1x Combine like terms: 8x + -1x = 7x -22 + 7x = 27 + x + -1x Combine like terms: x + -1x = 0 -22 + 7x = 27 + 0 -22 + 7x = 27 Add '22' to each side of the equation. -22 + 22 + 7x = 27 + 22 Combine like terms: -22 + 22 = 0 0 + 7x = 27 + 22 7x = 27 + 22 Combine like terms: 27 + 22 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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