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Simplifying -3x + 46 = 1 + 8x Reorder the terms: 46 + -3x = 1 + 8x Solving 46 + -3x = 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. 46 + -3x + -8x = 1 + 8x + -8x Combine like terms: -3x + -8x = -11x 46 + -11x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -11x = 1 + 0 46 + -11x = 1 Add '-46' to each side of the equation. 46 + -46 + -11x = 1 + -46 Combine like terms: 46 + -46 = 0 0 + -11x = 1 + -46 -11x = 1 + -46 Combine like terms: 1 + -46 = -45 -11x = -45 Divide each side by '-11'. x = 4.090909091 Simplifying x = 4.090909091
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