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Simplifying -8x + 1 = 81 + 2x Reorder the terms: 1 + -8x = 81 + 2x Solving 1 + -8x = 81 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -8x + -2x = 81 + 2x + -2x Combine like terms: -8x + -2x = -10x 1 + -10x = 81 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -10x = 81 + 0 1 + -10x = 81 Add '-1' to each side of the equation. 1 + -1 + -10x = 81 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 81 + -1 -10x = 81 + -1 Combine like terms: 81 + -1 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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