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Simplifying 22x + 8 + -6x = 28 + 14 + -10 + 12x Reorder the terms: 8 + 22x + -6x = 28 + 14 + -10 + 12x Combine like terms: 22x + -6x = 16x 8 + 16x = 28 + 14 + -10 + 12x Combine like terms: 28 + 14 = 42 8 + 16x = 42 + -10 + 12x Combine like terms: 42 + -10 = 32 8 + 16x = 32 + 12x Solving 8 + 16x = 32 + 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. 8 + 16x + -12x = 32 + 12x + -12x Combine like terms: 16x + -12x = 4x 8 + 4x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 4x = 32 + 0 8 + 4x = 32 Add '-8' to each side of the equation. 8 + -8 + 4x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 32 + -8 4x = 32 + -8 Combine like terms: 32 + -8 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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