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Simplifying 8x + 24 + -2x = 22 + 22x + -8 Reorder the terms: 24 + 8x + -2x = 22 + 22x + -8 Combine like terms: 8x + -2x = 6x 24 + 6x = 22 + 22x + -8 Reorder the terms: 24 + 6x = 22 + -8 + 22x Combine like terms: 22 + -8 = 14 24 + 6x = 14 + 22x Solving 24 + 6x = 14 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 24 + 6x + -22x = 14 + 22x + -22x Combine like terms: 6x + -22x = -16x 24 + -16x = 14 + 22x + -22x Combine like terms: 22x + -22x = 0 24 + -16x = 14 + 0 24 + -16x = 14 Add '-24' to each side of the equation. 24 + -24 + -16x = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -16x = 14 + -24 -16x = 14 + -24 Combine like terms: 14 + -24 = -10 -16x = -10 Divide each side by '-16'. x = 0.625 Simplifying x = 0.625
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