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Simplifying 6x + 8 + -22x = 28 + 14x + -10 + 12x Reorder the terms: 8 + 6x + -22x = 28 + 14x + -10 + 12x Combine like terms: 6x + -22x = -16x 8 + -16x = 28 + 14x + -10 + 12x Reorder the terms: 8 + -16x = 28 + -10 + 14x + 12x Combine like terms: 28 + -10 = 18 8 + -16x = 18 + 14x + 12x Combine like terms: 14x + 12x = 26x 8 + -16x = 18 + 26x Solving 8 + -16x = 18 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 8 + -16x + -26x = 18 + 26x + -26x Combine like terms: -16x + -26x = -42x 8 + -42x = 18 + 26x + -26x Combine like terms: 26x + -26x = 0 8 + -42x = 18 + 0 8 + -42x = 18 Add '-8' to each side of the equation. 8 + -8 + -42x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -42x = 18 + -8 -42x = 18 + -8 Combine like terms: 18 + -8 = 10 -42x = 10 Divide each side by '-42'. x = -0.2380952381 Simplifying x = -0.2380952381
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