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Simplifying [x + -4] = [5x + 1] Reorder the terms: [-4 + x] = [5x + 1] Remove brackets around [-4 + x] -4 + x = [5x + 1] Reorder the terms: -4 + x = [1 + 5x] Remove brackets around [1 + 5x] -4 + x = 1 + 5x Solving -4 + x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + x + -5x = 1 + 5x + -5x Combine like terms: x + -5x = -4x -4 + -4x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -4x = 1 + 0 -4 + -4x = 1 Add '4' to each side of the equation. -4 + 4 + -4x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 1 + 4 -4x = 1 + 4 Combine like terms: 1 + 4 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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