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Simplifying 3(3X + -4) = 7(-5X + 2) Reorder the terms: 3(-4 + 3X) = 7(-5X + 2) (-4 * 3 + 3X * 3) = 7(-5X + 2) (-12 + 9X) = 7(-5X + 2) Reorder the terms: -12 + 9X = 7(2 + -5X) -12 + 9X = (2 * 7 + -5X * 7) -12 + 9X = (14 + -35X) Solving -12 + 9X = 14 + -35X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '35X' to each side of the equation. -12 + 9X + 35X = 14 + -35X + 35X Combine like terms: 9X + 35X = 44X -12 + 44X = 14 + -35X + 35X Combine like terms: -35X + 35X = 0 -12 + 44X = 14 + 0 -12 + 44X = 14 Add '12' to each side of the equation. -12 + 12 + 44X = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 44X = 14 + 12 44X = 14 + 12 Combine like terms: 14 + 12 = 26 44X = 26 Divide each side by '44'. X = 0.5909090909 Simplifying X = 0.5909090909
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