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Simplifying 4x + 1 = 12x + 1 Reorder the terms: 1 + 4x = 12x + 1 Reorder the terms: 1 + 4x = 1 + 12x Add '-1' to each side of the equation. 1 + -1 + 4x = 1 + -1 + 12x Combine like terms: 1 + -1 = 0 0 + 4x = 1 + -1 + 12x 4x = 1 + -1 + 12x Combine like terms: 1 + -1 = 0 4x = 0 + 12x 4x = 12x Solving 4x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4x + -12x = 12x + -12x Combine like terms: 4x + -12x = -8x -8x = 12x + -12x Combine like terms: 12x + -12x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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