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Simplifying 3(X + -5) = 2(X + 9) Reorder the terms: 3(-5 + X) = 2(X + 9) (-5 * 3 + X * 3) = 2(X + 9) (-15 + 3X) = 2(X + 9) Reorder the terms: -15 + 3X = 2(9 + X) -15 + 3X = (9 * 2 + X * 2) -15 + 3X = (18 + 2X) Solving -15 + 3X = 18 + 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. -15 + 3X + -2X = 18 + 2X + -2X Combine like terms: 3X + -2X = 1X -15 + 1X = 18 + 2X + -2X Combine like terms: 2X + -2X = 0 -15 + 1X = 18 + 0 -15 + 1X = 18 Add '15' to each side of the equation. -15 + 15 + 1X = 18 + 15 Combine like terms: -15 + 15 = 0 0 + 1X = 18 + 15 1X = 18 + 15 Combine like terms: 18 + 15 = 33 1X = 33 Divide each side by '1'. X = 33 Simplifying X = 33
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