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