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Simplifying 46x + -1 = 33x + 8 + 10x Reorder the terms: -1 + 46x = 33x + 8 + 10x Reorder the terms: -1 + 46x = 8 + 33x + 10x Combine like terms: 33x + 10x = 43x -1 + 46x = 8 + 43x Solving -1 + 46x = 8 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. -1 + 46x + -43x = 8 + 43x + -43x Combine like terms: 46x + -43x = 3x -1 + 3x = 8 + 43x + -43x Combine like terms: 43x + -43x = 0 -1 + 3x = 8 + 0 -1 + 3x = 8 Add '1' to each side of the equation. -1 + 1 + 3x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 8 + 1 3x = 8 + 1 Combine like terms: 8 + 1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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