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Simplifying 2x + 46 = 3 + 8x + -5 Reorder the terms: 46 + 2x = 3 + 8x + -5 Reorder the terms: 46 + 2x = 3 + -5 + 8x Combine like terms: 3 + -5 = -2 46 + 2x = -2 + 8x Solving 46 + 2x = -2 + 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 + 2x + -8x = -2 + 8x + -8x Combine like terms: 2x + -8x = -6x 46 + -6x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -6x = -2 + 0 46 + -6x = -2 Add '-46' to each side of the equation. 46 + -46 + -6x = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = -2 + -46 -6x = -2 + -46 Combine like terms: -2 + -46 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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