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Simplifying 3(5X + -2) = 6(2X + 4) Reorder the terms: 3(-2 + 5X) = 6(2X + 4) (-2 * 3 + 5X * 3) = 6(2X + 4) (-6 + 15X) = 6(2X + 4) Reorder the terms: -6 + 15X = 6(4 + 2X) -6 + 15X = (4 * 6 + 2X * 6) -6 + 15X = (24 + 12X) Solving -6 + 15X = 24 + 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. -6 + 15X + -12X = 24 + 12X + -12X Combine like terms: 15X + -12X = 3X -6 + 3X = 24 + 12X + -12X Combine like terms: 12X + -12X = 0 -6 + 3X = 24 + 0 -6 + 3X = 24 Add '6' to each side of the equation. -6 + 6 + 3X = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 3X = 24 + 6 3X = 24 + 6 Combine like terms: 24 + 6 = 30 3X = 30 Divide each side by '3'. X = 10 Simplifying X = 10
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