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Simplifying 3(4x + -2) + -2(1 + -1x) = -22 Reorder the terms: 3(-2 + 4x) + -2(1 + -1x) = -22 (-2 * 3 + 4x * 3) + -2(1 + -1x) = -22 (-6 + 12x) + -2(1 + -1x) = -22 -6 + 12x + (1 * -2 + -1x * -2) = -22 -6 + 12x + (-2 + 2x) = -22 Reorder the terms: -6 + -2 + 12x + 2x = -22 Combine like terms: -6 + -2 = -8 -8 + 12x + 2x = -22 Combine like terms: 12x + 2x = 14x -8 + 14x = -22 Solving -8 + 14x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 14x = -22 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = -22 + 8 14x = -22 + 8 Combine like terms: -22 + 8 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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