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Simplifying 2(6x + 1) = -22 + 8x Reorder the terms: 2(1 + 6x) = -22 + 8x (1 * 2 + 6x * 2) = -22 + 8x (2 + 12x) = -22 + 8x Solving 2 + 12x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 12x + -8x = -22 + 8x + -8x Combine like terms: 12x + -8x = 4x 2 + 4x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + 4x = -22 + 0 2 + 4x = -22 Add '-2' to each side of the equation. 2 + -2 + 4x = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -22 + -2 4x = -22 + -2 Combine like terms: -22 + -2 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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