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Simplifying [x + 8] = [2x + 1] Reorder the terms: [8 + x] = [2x + 1] Remove brackets around [8 + x] 8 + x = [2x + 1] Reorder the terms: 8 + x = [1 + 2x] Remove brackets around [1 + 2x] 8 + x = 1 + 2x Solving 8 + x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + x + -2x = 1 + 2x + -2x Combine like terms: x + -2x = -1x 8 + -1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1x = 1 + 0 8 + -1x = 1 Add '-8' to each side of the equation. 8 + -8 + -1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 1 + -8 -1x = 1 + -8 Combine like terms: 1 + -8 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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