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Simplifying 7x + 1 = (x + 1) Reorder the terms: 1 + 7x = (x + 1) Reorder the terms: 1 + 7x = (1 + x) Remove parenthesis around (1 + x) 1 + 7x = 1 + x Add '-1' to each side of the equation. 1 + -1 + 7x = 1 + -1 + x Combine like terms: 1 + -1 = 0 0 + 7x = 1 + -1 + x 7x = 1 + -1 + x Combine like terms: 1 + -1 = 0 7x = 0 + x 7x = x Solving 7x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7x + -1x = x + -1x Combine like terms: 7x + -1x = 6x 6x = x + -1x Combine like terms: x + -1x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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