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Simplifying 4(X + -6) + 5x = 6 + X + 4 Reorder the terms: 4(-6 + X) + 5x = 6 + X + 4 (-6 * 4 + X * 4) + 5x = 6 + X + 4 (-24 + 4X) + 5x = 6 + X + 4 Reorder the terms: -24 + 4X + 5x = 6 + 4 + X Combine like terms: 6 + 4 = 10 -24 + 4X + 5x = 10 + X Solving -24 + 4X + 5x = 10 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -24 + 4X + -1X + 5x = 10 + X + -1X Combine like terms: 4X + -1X = 3X -24 + 3X + 5x = 10 + X + -1X Combine like terms: X + -1X = 0 -24 + 3X + 5x = 10 + 0 -24 + 3X + 5x = 10 Add '24' to each side of the equation. -24 + 3X + 24 + 5x = 10 + 24 Reorder the terms: -24 + 24 + 3X + 5x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 3X + 5x = 10 + 24 3X + 5x = 10 + 24 Combine like terms: 10 + 24 = 34 3X + 5x = 34 Add '-5x' to each side of the equation. 3X + 5x + -5x = 34 + -5x Combine like terms: 5x + -5x = 0 3X + 0 = 34 + -5x 3X = 34 + -5x Divide each side by '3'. X = 11.33333333 + -1.666666667x Simplifying X = 11.33333333 + -1.666666667x
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