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