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Simplifying 7x + -5 = x + 1 Reorder the terms: -5 + 7x = x + 1 Reorder the terms: -5 + 7x = 1 + x Solving -5 + 7x = 1 + 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. -5 + 7x + -1x = 1 + x + -1x Combine like terms: 7x + -1x = 6x -5 + 6x = 1 + x + -1x Combine like terms: x + -1x = 0 -5 + 6x = 1 + 0 -5 + 6x = 1 Add '5' to each side of the equation. -5 + 5 + 6x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 1 + 5 6x = 1 + 5 Combine like terms: 1 + 5 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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