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Simplifying 2(3X + 4) + -5(X + 6) = 3(-1X + 4) Reorder the terms: 2(4 + 3X) + -5(X + 6) = 3(-1X + 4) (4 * 2 + 3X * 2) + -5(X + 6) = 3(-1X + 4) (8 + 6X) + -5(X + 6) = 3(-1X + 4) Reorder the terms: 8 + 6X + -5(6 + X) = 3(-1X + 4) 8 + 6X + (6 * -5 + X * -5) = 3(-1X + 4) 8 + 6X + (-30 + -5X) = 3(-1X + 4) Reorder the terms: 8 + -30 + 6X + -5X = 3(-1X + 4) Combine like terms: 8 + -30 = -22 -22 + 6X + -5X = 3(-1X + 4) Combine like terms: 6X + -5X = 1X -22 + 1X = 3(-1X + 4) Reorder the terms: -22 + 1X = 3(4 + -1X) -22 + 1X = (4 * 3 + -1X * 3) -22 + 1X = (12 + -3X) Solving -22 + 1X = 12 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. -22 + 1X + 3X = 12 + -3X + 3X Combine like terms: 1X + 3X = 4X -22 + 4X = 12 + -3X + 3X Combine like terms: -3X + 3X = 0 -22 + 4X = 12 + 0 -22 + 4X = 12 Add '22' to each side of the equation. -22 + 22 + 4X = 12 + 22 Combine like terms: -22 + 22 = 0 0 + 4X = 12 + 22 4X = 12 + 22 Combine like terms: 12 + 22 = 34 4X = 34 Divide each side by '4'. X = 8.5 Simplifying X = 8.5
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