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Simplifying -2(3 + -4x) = 2x + 22 (3 * -2 + -4x * -2) = 2x + 22 (-6 + 8x) = 2x + 22 Reorder the terms: -6 + 8x = 22 + 2x Solving -6 + 8x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 8x + -2x = 22 + 2x + -2x Combine like terms: 8x + -2x = 6x -6 + 6x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 6x = 22 + 0 -6 + 6x = 22 Add '6' to each side of the equation. -6 + 6 + 6x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 22 + 6 6x = 22 + 6 Combine like terms: 22 + 6 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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