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Simplifying 6(X + -4) + -5x = -12 + 2 Reorder the terms: 6(-4 + X) + -5x = -12 + 2 (-4 * 6 + X * 6) + -5x = -12 + 2 (-24 + 6X) + -5x = -12 + 2 Combine like terms: -12 + 2 = -10 -24 + 6X + -5x = -10 Solving -24 + 6X + -5x = -10 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 6X + 24 + -5x = -10 + 24 Reorder the terms: -24 + 24 + 6X + -5x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 6X + -5x = -10 + 24 6X + -5x = -10 + 24 Combine like terms: -10 + 24 = 14 6X + -5x = 14 Add '5x' to each side of the equation. 6X + -5x + 5x = 14 + 5x Combine like terms: -5x + 5x = 0 6X + 0 = 14 + 5x 6X = 14 + 5x Divide each side by '6'. X = 2.333333333 + 0.8333333333x Simplifying X = 2.333333333 + 0.8333333333x
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