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Simplifying 3(2X + 3) = 2(X + -4) Reorder the terms: 3(3 + 2X) = 2(X + -4) (3 * 3 + 2X * 3) = 2(X + -4) (9 + 6X) = 2(X + -4) Reorder the terms: 9 + 6X = 2(-4 + X) 9 + 6X = (-4 * 2 + X * 2) 9 + 6X = (-8 + 2X) Solving 9 + 6X = -8 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 9 + 6X + -2X = -8 + 2X + -2X Combine like terms: 6X + -2X = 4X 9 + 4X = -8 + 2X + -2X Combine like terms: 2X + -2X = 0 9 + 4X = -8 + 0 9 + 4X = -8 Add '-9' to each side of the equation. 9 + -9 + 4X = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 4X = -8 + -9 4X = -8 + -9 Combine like terms: -8 + -9 = -17 4X = -17 Divide each side by '4'. X = -4.25 Simplifying X = -4.25
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