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Simplifying -4(3x + -2) + 2 = 46 Reorder the terms: -4(-2 + 3x) + 2 = 46 (-2 * -4 + 3x * -4) + 2 = 46 (8 + -12x) + 2 = 46 Reorder the terms: 8 + 2 + -12x = 46 Combine like terms: 8 + 2 = 10 10 + -12x = 46 Solving 10 + -12x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -12x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = 46 + -10 -12x = 46 + -10 Combine like terms: 46 + -10 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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