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Simplifying -2(3x + -7) + 2 = 22 Reorder the terms: -2(-7 + 3x) + 2 = 22 (-7 * -2 + 3x * -2) + 2 = 22 (14 + -6x) + 2 = 22 Reorder the terms: 14 + 2 + -6x = 22 Combine like terms: 14 + 2 = 16 16 + -6x = 22 Solving 16 + -6x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -6x = 22 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = 22 + -16 -6x = 22 + -16 Combine like terms: 22 + -16 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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