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Simplifying 5x + 1 = 1 + -4x Reorder the terms: 1 + 5x = 1 + -4x Add '-1' to each side of the equation. 1 + -1 + 5x = 1 + -1 + -4x Combine like terms: 1 + -1 = 0 0 + 5x = 1 + -1 + -4x 5x = 1 + -1 + -4x Combine like terms: 1 + -1 = 0 5x = 0 + -4x 5x = -4x Solving 5x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5x + 4x = -4x + 4x Combine like terms: 5x + 4x = 9x 9x = -4x + 4x Combine like terms: -4x + 4x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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