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Simplifying x + 1 = 8 + 7x + 1 + -2 Reorder the terms: 1 + x = 8 + 7x + 1 + -2 Reorder the terms: 1 + x = 8 + 1 + -2 + 7x Combine like terms: 8 + 1 = 9 1 + x = 9 + -2 + 7x Combine like terms: 9 + -2 = 7 1 + x = 7 + 7x Solving 1 + x = 7 + 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. 1 + x + -7x = 7 + 7x + -7x Combine like terms: x + -7x = -6x 1 + -6x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -6x = 7 + 0 1 + -6x = 7 Add '-1' to each side of the equation. 1 + -1 + -6x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 7 + -1 -6x = 7 + -1 Combine like terms: 7 + -1 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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