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Simplifying -4x + 1 = 1 + -7x Reorder the terms: 1 + -4x = 1 + -7x Add '-1' to each side of the equation. 1 + -1 + -4x = 1 + -1 + -7x Combine like terms: 1 + -1 = 0 0 + -4x = 1 + -1 + -7x -4x = 1 + -1 + -7x Combine like terms: 1 + -1 = 0 -4x = 0 + -7x -4x = -7x Solving -4x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4x + 7x = -7x + 7x Combine like terms: -4x + 7x = 3x 3x = -7x + 7x Combine like terms: -7x + 7x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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