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