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Simplifying -7x + 1 = 5x + 1 Reorder the terms: 1 + -7x = 5x + 1 Reorder the terms: 1 + -7x = 1 + 5x Add '-1' to each side of the equation. 1 + -1 + -7x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 0 + -7x = 1 + -1 + 5x -7x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 -7x = 0 + 5x -7x = 5x Solving -7x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7x + -5x = 5x + -5x Combine like terms: -7x + -5x = -12x -12x = 5x + -5x Combine like terms: 5x + -5x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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