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Simplifying 1 + -1x = 7x + 1 Reorder the terms: 1 + -1x = 1 + 7x Add '-1' to each side of the equation. 1 + -1 + -1x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 0 + -1x = 1 + -1 + 7x -1x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 -1x = 0 + 7x -1x = 7x Solving -1x = 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. -1x + -7x = 7x + -7x Combine like terms: -1x + -7x = -8x -8x = 7x + -7x Combine like terms: 7x + -7x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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