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Simplifying 2(3X + 4) + -3(X + 3) = 23 Reorder the terms: 2(4 + 3X) + -3(X + 3) = 23 (4 * 2 + 3X * 2) + -3(X + 3) = 23 (8 + 6X) + -3(X + 3) = 23 Reorder the terms: 8 + 6X + -3(3 + X) = 23 8 + 6X + (3 * -3 + X * -3) = 23 8 + 6X + (-9 + -3X) = 23 Reorder the terms: 8 + -9 + 6X + -3X = 23 Combine like terms: 8 + -9 = -1 -1 + 6X + -3X = 23 Combine like terms: 6X + -3X = 3X -1 + 3X = 23 Solving -1 + 3X = 23 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3X = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 3X = 23 + 1 3X = 23 + 1 Combine like terms: 23 + 1 = 24 3X = 24 Divide each side by '3'. X = 8 Simplifying X = 8
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