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