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Simplifying 2(5X + -4) = 3(3X + 6) Reorder the terms: 2(-4 + 5X) = 3(3X + 6) (-4 * 2 + 5X * 2) = 3(3X + 6) (-8 + 10X) = 3(3X + 6) Reorder the terms: -8 + 10X = 3(6 + 3X) -8 + 10X = (6 * 3 + 3X * 3) -8 + 10X = (18 + 9X) Solving -8 + 10X = 18 + 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. -8 + 10X + -9X = 18 + 9X + -9X Combine like terms: 10X + -9X = 1X -8 + 1X = 18 + 9X + -9X Combine like terms: 9X + -9X = 0 -8 + 1X = 18 + 0 -8 + 1X = 18 Add '8' to each side of the equation. -8 + 8 + 1X = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 1X = 18 + 8 1X = 18 + 8 Combine like terms: 18 + 8 = 26 1X = 26 Divide each side by '1'. X = 26 Simplifying X = 26
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