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Simplifying 46 + -2x = 7x + 24 Reorder the terms: 46 + -2x = 24 + 7x Solving 46 + -2x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 46 + -2x + -7x = 24 + 7x + -7x Combine like terms: -2x + -7x = -9x 46 + -9x = 24 + 7x + -7x Combine like terms: 7x + -7x = 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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