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Simplifying 3(X + -3) = -9(X + 4) + 45 Reorder the terms: 3(-3 + X) = -9(X + 4) + 45 (-3 * 3 + X * 3) = -9(X + 4) + 45 (-9 + 3X) = -9(X + 4) + 45 Reorder the terms: -9 + 3X = -9(4 + X) + 45 -9 + 3X = (4 * -9 + X * -9) + 45 -9 + 3X = (-36 + -9X) + 45 Reorder the terms: -9 + 3X = -36 + 45 + -9X Combine like terms: -36 + 45 = 9 -9 + 3X = 9 + -9X Solving -9 + 3X = 9 + -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. -9 + 3X + 9X = 9 + -9X + 9X Combine like terms: 3X + 9X = 12X -9 + 12X = 9 + -9X + 9X Combine like terms: -9X + 9X = 0 -9 + 12X = 9 + 0 -9 + 12X = 9 Add '9' to each side of the equation. -9 + 9 + 12X = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 12X = 9 + 9 12X = 9 + 9 Combine like terms: 9 + 9 = 18 12X = 18 Divide each side by '12'. X = 1.5 Simplifying X = 1.5
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