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Simplifying 6(2X + -3) = 3(5X + 4) Reorder the terms: 6(-3 + 2X) = 3(5X + 4) (-3 * 6 + 2X * 6) = 3(5X + 4) (-18 + 12X) = 3(5X + 4) Reorder the terms: -18 + 12X = 3(4 + 5X) -18 + 12X = (4 * 3 + 5X * 3) -18 + 12X = (12 + 15X) Solving -18 + 12X = 12 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. -18 + 12X + -15X = 12 + 15X + -15X Combine like terms: 12X + -15X = -3X -18 + -3X = 12 + 15X + -15X Combine like terms: 15X + -15X = 0 -18 + -3X = 12 + 0 -18 + -3X = 12 Add '18' to each side of the equation. -18 + 18 + -3X = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -3X = 12 + 18 -3X = 12 + 18 Combine like terms: 12 + 18 = 30 -3X = 30 Divide each side by '-3'. X = -10 Simplifying X = -10
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