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Simplifying 3(X + -7) + -2(X + -3) = 24 Reorder the terms: 3(-7 + X) + -2(X + -3) = 24 (-7 * 3 + X * 3) + -2(X + -3) = 24 (-21 + 3X) + -2(X + -3) = 24 Reorder the terms: -21 + 3X + -2(-3 + X) = 24 -21 + 3X + (-3 * -2 + X * -2) = 24 -21 + 3X + (6 + -2X) = 24 Reorder the terms: -21 + 6 + 3X + -2X = 24 Combine like terms: -21 + 6 = -15 -15 + 3X + -2X = 24 Combine like terms: 3X + -2X = 1X -15 + 1X = 24 Solving -15 + 1X = 24 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1X = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 1X = 24 + 15 1X = 24 + 15 Combine like terms: 24 + 15 = 39 1X = 39 Divide each side by '1'. X = 39 Simplifying X = 39
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