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Simplifying 1 + x = -7x + 81 Reorder the terms: 1 + x = 81 + -7x Solving 1 + x = 81 + -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 = 81 + -7x + 7x Combine like terms: x + 7x = 8x 1 + 8x = 81 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 8x = 81 + 0 1 + 8x = 81 Add '-1' to each side of the equation. 1 + -1 + 8x = 81 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 81 + -1 8x = 81 + -1 Combine like terms: 81 + -1 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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