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Simplifying 46 + 5x = 8x + -41 Reorder the terms: 46 + 5x = -41 + 8x Solving 46 + 5x = -41 + 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. 46 + 5x + -8x = -41 + 8x + -8x Combine like terms: 5x + -8x = -3x 46 + -3x = -41 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -3x = -41 + 0 46 + -3x = -41 Add '-46' to each side of the equation. 46 + -46 + -3x = -41 + -46 Combine like terms: 46 + -46 = 0 0 + -3x = -41 + -46 -3x = -41 + -46 Combine like terms: -41 + -46 = -87 -3x = -87 Divide each side by '-3'. x = 29 Simplifying x = 29
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