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Simplifying [x + 5] = [2x + -8] Reorder the terms: [5 + x] = [2x + -8] Remove brackets around [5 + x] 5 + x = [2x + -8] Reorder the terms: 5 + x = [-8 + 2x] Remove brackets around [-8 + 2x] 5 + x = -8 + 2x Solving 5 + x = -8 + 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. 5 + x + -2x = -8 + 2x + -2x Combine like terms: x + -2x = -1x 5 + -1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -1x = -8 + 0 5 + -1x = -8 Add '-5' to each side of the equation. 5 + -5 + -1x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -8 + -5 -1x = -8 + -5 Combine like terms: -8 + -5 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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