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Simplifying -4(3x + -2) = 52 Reorder the terms: -4(-2 + 3x) = 52 (-2 * -4 + 3x * -4) = 52 (8 + -12x) = 52 Solving 8 + -12x = 52 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 + -12x = 52 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 52 + -8 -12x = 52 + -8 Combine like terms: 52 + -8 = 44 -12x = 44 Divide each side by '-12'. x = -3.666666667 Simplifying x = -3.666666667
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