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Simplifying 3(7x + 3) + -11(2x + 1) = 24 Reorder the terms: 3(3 + 7x) + -11(2x + 1) = 24 (3 * 3 + 7x * 3) + -11(2x + 1) = 24 (9 + 21x) + -11(2x + 1) = 24 Reorder the terms: 9 + 21x + -11(1 + 2x) = 24 9 + 21x + (1 * -11 + 2x * -11) = 24 9 + 21x + (-11 + -22x) = 24 Reorder the terms: 9 + -11 + 21x + -22x = 24 Combine like terms: 9 + -11 = -2 -2 + 21x + -22x = 24 Combine like terms: 21x + -22x = -1x -2 + -1x = 24 Solving -2 + -1x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 24 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 24 + 2 -1x = 24 + 2 Combine like terms: 24 + 2 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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