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Simplifying 6x + 24 = 12x + -22 Reorder the terms: 24 + 6x = 12x + -22 Reorder the terms: 24 + 6x = -22 + 12x Solving 24 + 6x = -22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 6x + -12x = -22 + 12x + -12x Combine like terms: 6x + -12x = -6x 24 + -6x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -6x = -22 + 0 24 + -6x = -22 Add '-24' to each side of the equation. 24 + -24 + -6x = -22 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -22 + -24 -6x = -22 + -24 Combine like terms: -22 + -24 = -46 -6x = -46 Divide each side by '-6'. x = 7.666666667 Simplifying x = 7.666666667
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