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Simplifying -4(3x + -8) + -34 = 46 Reorder the terms: -4(-8 + 3x) + -34 = 46 (-8 * -4 + 3x * -4) + -34 = 46 (32 + -12x) + -34 = 46 Reorder the terms: 32 + -34 + -12x = 46 Combine like terms: 32 + -34 = -2 -2 + -12x = 46 Solving -2 + -12x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -12x = 46 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 46 + 2 -12x = 46 + 2 Combine like terms: 46 + 2 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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