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Simplifying 1 + -5x = 7x + 1 Reorder the terms: 1 + -5x = 1 + 7x Add '-1' to each side of the equation. 1 + -1 + -5x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 0 + -5x = 1 + -1 + 7x -5x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 -5x = 0 + 7x -5x = 7x Solving -5x = 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. -5x + -7x = 7x + -7x Combine like terms: -5x + -7x = -12x -12x = 7x + -7x Combine like terms: 7x + -7x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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