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Simplifying [2x + 1] = [x + -4] Reorder the terms: [1 + 2x] = [x + -4] Remove brackets around [1 + 2x] 1 + 2x = [x + -4] Reorder the terms: 1 + 2x = [-4 + x] Remove brackets around [-4 + x] 1 + 2x = -4 + x Solving 1 + 2x = -4 + 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. 1 + 2x + -1x = -4 + x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = -4 + x + -1x Combine like terms: x + -1x = 0 1 + 1x = -4 + 0 1 + 1x = -4 Add '-1' to each side of the equation. 1 + -1 + 1x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -4 + -1 1x = -4 + -1 Combine like terms: -4 + -1 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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