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Simplifying 5(3X + -6) = -6(2X + -4) Reorder the terms: 5(-6 + 3X) = -6(2X + -4) (-6 * 5 + 3X * 5) = -6(2X + -4) (-30 + 15X) = -6(2X + -4) Reorder the terms: -30 + 15X = -6(-4 + 2X) -30 + 15X = (-4 * -6 + 2X * -6) -30 + 15X = (24 + -12X) Solving -30 + 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. -30 + 15X + 12X = 24 + -12X + 12X Combine like terms: 15X + 12X = 27X -30 + 27X = 24 + -12X + 12X Combine like terms: -12X + 12X = 0 -30 + 27X = 24 + 0 -30 + 27X = 24 Add '30' to each side of the equation. -30 + 30 + 27X = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 27X = 24 + 30 27X = 24 + 30 Combine like terms: 24 + 30 = 54 27X = 54 Divide each side by '27'. X = 2 Simplifying X = 2
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