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Simplifying 12x + -6 = 5x + 22 Reorder the terms: -6 + 12x = 5x + 22 Reorder the terms: -6 + 12x = 22 + 5x Solving -6 + 12x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 12x + -5x = 22 + 5x + -5x Combine like terms: 12x + -5x = 7x -6 + 7x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 7x = 22 + 0 -6 + 7x = 22 Add '6' to each side of the equation. -6 + 6 + 7x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 22 + 6 7x = 22 + 6 Combine like terms: 22 + 6 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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