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Simplifying [x + 7] = [91 + -1x] Reorder the terms: [7 + x] = [91 + -1x] Remove brackets around [7 + x] 7 + x = [91 + -1x] Remove brackets around [91 + -1x] 7 + x = 91 + -1x Solving 7 + x = 91 + -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. 7 + x + x = 91 + -1x + x Combine like terms: x + x = 2x 7 + 2x = 91 + -1x + x Combine like terms: -1x + x = 0 7 + 2x = 91 + 0 7 + 2x = 91 Add '-7' to each side of the equation. 7 + -7 + 2x = 91 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 91 + -7 2x = 91 + -7 Combine like terms: 91 + -7 = 84 2x = 84 Divide each side by '2'. x = 42 Simplifying x = 42
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