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