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Simplifying 46 + -5x = 4x + 22 Reorder the terms: 46 + -5x = 22 + 4x Solving 46 + -5x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 46 + -5x + -4x = 22 + 4x + -4x Combine like terms: -5x + -4x = -9x 46 + -9x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 46 + -9x = 22 + 0 46 + -9x = 22 Add '-46' to each side of the equation. 46 + -46 + -9x = 22 + -46 Combine like terms: 46 + -46 = 0 0 + -9x = 22 + -46 -9x = 22 + -46 Combine like terms: 22 + -46 = -24 -9x = -24 Divide each side by '-9'. x = 2.666666667 Simplifying x = 2.666666667
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