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Simplifying 6x + 8 + -22x = 28 + 14x + -10 + 12 Reorder the terms: 8 + 6x + -22x = 28 + 14x + -10 + 12 Combine like terms: 6x + -22x = -16x 8 + -16x = 28 + 14x + -10 + 12 Reorder the terms: 8 + -16x = 28 + -10 + 12 + 14x Combine like terms: 28 + -10 = 18 8 + -16x = 18 + 12 + 14x Combine like terms: 18 + 12 = 30 8 + -16x = 30 + 14x Solving 8 + -16x = 30 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + -16x + -14x = 30 + 14x + -14x Combine like terms: -16x + -14x = -30x 8 + -30x = 30 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + -30x = 30 + 0 8 + -30x = 30 Add '-8' to each side of the equation. 8 + -8 + -30x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -30x = 30 + -8 -30x = 30 + -8 Combine like terms: 30 + -8 = 22 -30x = 22 Divide each side by '-30'. x = -0.7333333333 Simplifying x = -0.7333333333
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