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Simplifying 8x + -1 = 6x + 45 Reorder the terms: -1 + 8x = 6x + 45 Reorder the terms: -1 + 8x = 45 + 6x Solving -1 + 8x = 45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 8x + -6x = 45 + 6x + -6x Combine like terms: 8x + -6x = 2x -1 + 2x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 2x = 45 + 0 -1 + 2x = 45 Add '1' to each side of the equation. -1 + 1 + 2x = 45 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 45 + 1 2x = 45 + 1 Combine like terms: 45 + 1 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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