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Simplifying 5(X + -3) + 9 = 3(X + -2) Reorder the terms: 5(-3 + X) + 9 = 3(X + -2) (-3 * 5 + X * 5) + 9 = 3(X + -2) (-15 + 5X) + 9 = 3(X + -2) Reorder the terms: -15 + 9 + 5X = 3(X + -2) Combine like terms: -15 + 9 = -6 -6 + 5X = 3(X + -2) Reorder the terms: -6 + 5X = 3(-2 + X) -6 + 5X = (-2 * 3 + X * 3) -6 + 5X = (-6 + 3X) Add '6' to each side of the equation. -6 + 6 + 5X = -6 + 6 + 3X Combine like terms: -6 + 6 = 0 0 + 5X = -6 + 6 + 3X 5X = -6 + 6 + 3X Combine like terms: -6 + 6 = 0 5X = 0 + 3X 5X = 3X Solving 5X = 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. 5X + -3X = 3X + -3X Combine like terms: 5X + -3X = 2X 2X = 3X + -3X Combine like terms: 3X + -3X = 0 2X = 0 Divide each side by '2'. X = 0 Simplifying X = 0
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