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Simplifying 4(9X + -6) = 6(5X + -2) Reorder the terms: 4(-6 + 9X) = 6(5X + -2) (-6 * 4 + 9X * 4) = 6(5X + -2) (-24 + 36X) = 6(5X + -2) Reorder the terms: -24 + 36X = 6(-2 + 5X) -24 + 36X = (-2 * 6 + 5X * 6) -24 + 36X = (-12 + 30X) Solving -24 + 36X = -12 + 30X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30X' to each side of the equation. -24 + 36X + -30X = -12 + 30X + -30X Combine like terms: 36X + -30X = 6X -24 + 6X = -12 + 30X + -30X Combine like terms: 30X + -30X = 0 -24 + 6X = -12 + 0 -24 + 6X = -12 Add '24' to each side of the equation. -24 + 24 + 6X = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 6X = -12 + 24 6X = -12 + 24 Combine like terms: -12 + 24 = 12 6X = 12 Divide each side by '6'. X = 2 Simplifying X = 2
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