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Simplifying -1x + 9 = x + 31 Reorder the terms: 9 + -1x = x + 31 Reorder the terms: 9 + -1x = 31 + x Solving 9 + -1x = 31 + 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. 9 + -1x + -1x = 31 + x + -1x Combine like terms: -1x + -1x = -2x 9 + -2x = 31 + x + -1x Combine like terms: x + -1x = 0 9 + -2x = 31 + 0 9 + -2x = 31 Add '-9' to each side of the equation. 9 + -9 + -2x = 31 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 31 + -9 -2x = 31 + -9 Combine like terms: 31 + -9 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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