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Simplifying [1 + -4x] = 5x + 1 Remove brackets around [1 + -4x] 1 + -4x = 5x + 1 Reorder the terms: 1 + -4x = 1 + 5x Add '-1' to each side of the equation. 1 + -1 + -4x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 0 + -4x = 1 + -1 + 5x -4x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 -4x = 0 + 5x -4x = 5x Solving -4x = 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. -4x + -5x = 5x + -5x Combine like terms: -4x + -5x = -9x -9x = 5x + -5x Combine like terms: 5x + -5x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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