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Simplifying 3(6 + 7x) + -5(4x + 9) = 0 (6 * 3 + 7x * 3) + -5(4x + 9) = 0 (18 + 21x) + -5(4x + 9) = 0 Reorder the terms: 18 + 21x + -5(9 + 4x) = 0 18 + 21x + (9 * -5 + 4x * -5) = 0 18 + 21x + (-45 + -20x) = 0 Reorder the terms: 18 + -45 + 21x + -20x = 0 Combine like terms: 18 + -45 = -27 -27 + 21x + -20x = 0 Combine like terms: 21x + -20x = 1x -27 + 1x = 0 Solving -27 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 0 + 27 1x = 0 + 27 Combine like terms: 0 + 27 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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