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Simplifying 46 + -3x = 6x + 24 Reorder the terms: 46 + -3x = 24 + 6x Solving 46 + -3x = 24 + 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. 46 + -3x + -6x = 24 + 6x + -6x Combine like terms: -3x + -6x = -9x 46 + -9x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + -9x = 24 + 0 46 + -9x = 24 Add '-46' to each side of the equation. 46 + -46 + -9x = 24 + -46 Combine like terms: 46 + -46 = 0 0 + -9x = 24 + -46 -9x = 24 + -46 Combine like terms: 24 + -46 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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