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Simplifying -4(2x + -6) = 12x + -6 Reorder the terms: -4(-6 + 2x) = 12x + -6 (-6 * -4 + 2x * -4) = 12x + -6 (24 + -8x) = 12x + -6 Reorder the terms: 24 + -8x = -6 + 12x Solving 24 + -8x = -6 + 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. 24 + -8x + -12x = -6 + 12x + -12x Combine like terms: -8x + -12x = -20x 24 + -20x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -20x = -6 + 0 24 + -20x = -6 Add '-24' to each side of the equation. 24 + -24 + -20x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -20x = -6 + -24 -20x = -6 + -24 Combine like terms: -6 + -24 = -30 -20x = -30 Divide each side by '-20'. x = 1.5 Simplifying x = 1.5
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