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Simplifying 6x + -22 = 2(1 + -3x) Reorder the terms: -22 + 6x = 2(1 + -3x) -22 + 6x = (1 * 2 + -3x * 2) -22 + 6x = (2 + -6x) Solving -22 + 6x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -22 + 6x + 6x = 2 + -6x + 6x Combine like terms: 6x + 6x = 12x -22 + 12x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -22 + 12x = 2 + 0 -22 + 12x = 2 Add '22' to each side of the equation. -22 + 22 + 12x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 12x = 2 + 22 12x = 2 + 22 Combine like terms: 2 + 22 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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