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Simplifying 6(-4X + 2) = 3(2X + -5) Reorder the terms: 6(2 + -4X) = 3(2X + -5) (2 * 6 + -4X * 6) = 3(2X + -5) (12 + -24X) = 3(2X + -5) Reorder the terms: 12 + -24X = 3(-5 + 2X) 12 + -24X = (-5 * 3 + 2X * 3) 12 + -24X = (-15 + 6X) Solving 12 + -24X = -15 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 12 + -24X + -6X = -15 + 6X + -6X Combine like terms: -24X + -6X = -30X 12 + -30X = -15 + 6X + -6X Combine like terms: 6X + -6X = 0 12 + -30X = -15 + 0 12 + -30X = -15 Add '-12' to each side of the equation. 12 + -12 + -30X = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -30X = -15 + -12 -30X = -15 + -12 Combine like terms: -15 + -12 = -27 -30X = -27 Divide each side by '-30'. X = 0.9 Simplifying X = 0.9
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