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Simplifying 4x + 1 = 1 + x Reorder the terms: 1 + 4x = 1 + x Add '-1' to each side of the equation. 1 + -1 + 4x = 1 + -1 + x Combine like terms: 1 + -1 = 0 0 + 4x = 1 + -1 + x 4x = 1 + -1 + x Combine like terms: 1 + -1 = 0 4x = 0 + x 4x = x Solving 4x = 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. 4x + -1x = x + -1x Combine like terms: 4x + -1x = 3x 3x = x + -1x Combine like terms: x + -1x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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