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Simplifying 3x + -1(4 + -3x) + 12 = -22 3x + (4 * -1 + -3x * -1) + 12 = -22 3x + (-4 + 3x) + 12 = -22 Reorder the terms: -4 + 12 + 3x + 3x = -22 Combine like terms: -4 + 12 = 8 8 + 3x + 3x = -22 Combine like terms: 3x + 3x = 6x 8 + 6x = -22 Solving 8 + 6x = -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 + 6x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -22 + -8 6x = -22 + -8 Combine like terms: -22 + -8 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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