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Simplifying 2(3x + -4) = 2(13x + 12) Reorder the terms: 2(-4 + 3x) = 2(13x + 12) (-4 * 2 + 3x * 2) = 2(13x + 12) (-8 + 6x) = 2(13x + 12) Reorder the terms: -8 + 6x = 2(12 + 13x) -8 + 6x = (12 * 2 + 13x * 2) -8 + 6x = (24 + 26x) Solving -8 + 6x = 24 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -8 + 6x + -26x = 24 + 26x + -26x Combine like terms: 6x + -26x = -20x -8 + -20x = 24 + 26x + -26x Combine like terms: 26x + -26x = 0 -8 + -20x = 24 + 0 -8 + -20x = 24 Add '8' to each side of the equation. -8 + 8 + -20x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -20x = 24 + 8 -20x = 24 + 8 Combine like terms: 24 + 8 = 32 -20x = 32 Divide each side by '-20'. x = -1.6 Simplifying x = -1.6
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