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Simplifying [x + 9] = [5 + -1x] Reorder the terms: [9 + x] = [5 + -1x] Remove brackets around [9 + x] 9 + x = [5 + -1x] Remove brackets around [5 + -1x] 9 + x = 5 + -1x Solving 9 + x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + x + x = 5 + -1x + x Combine like terms: x + x = 2x 9 + 2x = 5 + -1x + x Combine like terms: -1x + x = 0 9 + 2x = 5 + 0 9 + 2x = 5 Add '-9' to each side of the equation. 9 + -9 + 2x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 5 + -9 2x = 5 + -9 Combine like terms: 5 + -9 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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