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Simplifying 2x + -1(6 + -8x) = 12x + 22 2x + (6 * -1 + -8x * -1) = 12x + 22 2x + (-6 + 8x) = 12x + 22 Reorder the terms: -6 + 2x + 8x = 12x + 22 Combine like terms: 2x + 8x = 10x -6 + 10x = 12x + 22 Reorder the terms: -6 + 10x = 22 + 12x Solving -6 + 10x = 22 + 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. -6 + 10x + -12x = 22 + 12x + -12x Combine like terms: 10x + -12x = -2x -6 + -2x = 22 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -2x = 22 + 0 -6 + -2x = 22 Add '6' to each side of the equation. -6 + 6 + -2x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 22 + 6 -2x = 22 + 6 Combine like terms: 22 + 6 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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