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Simplifying -1x + -27 = x + 9 Reorder the terms: -27 + -1x = x + 9 Reorder the terms: -27 + -1x = 9 + x Solving -27 + -1x = 9 + 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. -27 + -1x + -1x = 9 + x + -1x Combine like terms: -1x + -1x = -2x -27 + -2x = 9 + x + -1x Combine like terms: x + -1x = 0 -27 + -2x = 9 + 0 -27 + -2x = 9 Add '27' to each side of the equation. -27 + 27 + -2x = 9 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = 9 + 27 -2x = 9 + 27 Combine like terms: 9 + 27 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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