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Simplifying 3(X + 6) = 4(2X + -8) Reorder the terms: 3(6 + X) = 4(2X + -8) (6 * 3 + X * 3) = 4(2X + -8) (18 + 3X) = 4(2X + -8) Reorder the terms: 18 + 3X = 4(-8 + 2X) 18 + 3X = (-8 * 4 + 2X * 4) 18 + 3X = (-32 + 8X) Solving 18 + 3X = -32 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 18 + 3X + -8X = -32 + 8X + -8X Combine like terms: 3X + -8X = -5X 18 + -5X = -32 + 8X + -8X Combine like terms: 8X + -8X = 0 18 + -5X = -32 + 0 18 + -5X = -32 Add '-18' to each side of the equation. 18 + -18 + -5X = -32 + -18 Combine like terms: 18 + -18 = 0 0 + -5X = -32 + -18 -5X = -32 + -18 Combine like terms: -32 + -18 = -50 -5X = -50 Divide each side by '-5'. X = 10 Simplifying X = 10
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