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Simplifying 2(-3x + -12) = 4(5x + -17) Reorder the terms: 2(-12 + -3x) = 4(5x + -17) (-12 * 2 + -3x * 2) = 4(5x + -17) (-24 + -6x) = 4(5x + -17) Reorder the terms: -24 + -6x = 4(-17 + 5x) -24 + -6x = (-17 * 4 + 5x * 4) -24 + -6x = (-68 + 20x) Solving -24 + -6x = -68 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -24 + -6x + -20x = -68 + 20x + -20x Combine like terms: -6x + -20x = -26x -24 + -26x = -68 + 20x + -20x Combine like terms: 20x + -20x = 0 -24 + -26x = -68 + 0 -24 + -26x = -68 Add '24' to each side of the equation. -24 + 24 + -26x = -68 + 24 Combine like terms: -24 + 24 = 0 0 + -26x = -68 + 24 -26x = -68 + 24 Combine like terms: -68 + 24 = -44 -26x = -44 Divide each side by '-26'. x = 1.692307692 Simplifying x = 1.692307692
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