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Simplifying -5(X + 3) + 3(X + -1) = -24 Reorder the terms: -5(3 + X) + 3(X + -1) = -24 (3 * -5 + X * -5) + 3(X + -1) = -24 (-15 + -5X) + 3(X + -1) = -24 Reorder the terms: -15 + -5X + 3(-1 + X) = -24 -15 + -5X + (-1 * 3 + X * 3) = -24 -15 + -5X + (-3 + 3X) = -24 Reorder the terms: -15 + -3 + -5X + 3X = -24 Combine like terms: -15 + -3 = -18 -18 + -5X + 3X = -24 Combine like terms: -5X + 3X = -2X -18 + -2X = -24 Solving -18 + -2X = -24 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -2X = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -2X = -24 + 18 -2X = -24 + 18 Combine like terms: -24 + 18 = -6 -2X = -6 Divide each side by '-2'. X = 3 Simplifying X = 3
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