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Simplifying -46 = -4(3x + 4) + -6 Reorder the terms: -46 = -4(4 + 3x) + -6 -46 = (4 * -4 + 3x * -4) + -6 -46 = (-16 + -12x) + -6 Reorder the terms: -46 = -16 + -6 + -12x Combine like terms: -16 + -6 = -22 -46 = -22 + -12x Solving -46 = -22 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -46 + 12x = -22 + -12x + 12x Combine like terms: -12x + 12x = 0 -46 + 12x = -22 + 0 -46 + 12x = -22 Add '46' to each side of the equation. -46 + 46 + 12x = -22 + 46 Combine like terms: -46 + 46 = 0 0 + 12x = -22 + 46 12x = -22 + 46 Combine like terms: -22 + 46 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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