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Simplifying -52 = -4(3x + -2) Reorder the terms: -52 = -4(-2 + 3x) -52 = (-2 * -4 + 3x * -4) -52 = (8 + -12x) Solving -52 = 8 + -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. -52 + 12x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -52 + 12x = 8 + 0 -52 + 12x = 8 Add '52' to each side of the equation. -52 + 52 + 12x = 8 + 52 Combine like terms: -52 + 52 = 0 0 + 12x = 8 + 52 12x = 8 + 52 Combine like terms: 8 + 52 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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