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Simplifying 2(X + 3) + 5(X + -2) = 24 Reorder the terms: 2(3 + X) + 5(X + -2) = 24 (3 * 2 + X * 2) + 5(X + -2) = 24 (6 + 2X) + 5(X + -2) = 24 Reorder the terms: 6 + 2X + 5(-2 + X) = 24 6 + 2X + (-2 * 5 + X * 5) = 24 6 + 2X + (-10 + 5X) = 24 Reorder the terms: 6 + -10 + 2X + 5X = 24 Combine like terms: 6 + -10 = -4 -4 + 2X + 5X = 24 Combine like terms: 2X + 5X = 7X -4 + 7X = 24 Solving -4 + 7X = 24 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7X = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 7X = 24 + 4 7X = 24 + 4 Combine like terms: 24 + 4 = 28 7X = 28 Divide each side by '7'. X = 4 Simplifying X = 4
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