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Simplifying 9(3x + 8) + -3(4x + 21) = 0 Reorder the terms: 9(8 + 3x) + -3(4x + 21) = 0 (8 * 9 + 3x * 9) + -3(4x + 21) = 0 (72 + 27x) + -3(4x + 21) = 0 Reorder the terms: 72 + 27x + -3(21 + 4x) = 0 72 + 27x + (21 * -3 + 4x * -3) = 0 72 + 27x + (-63 + -12x) = 0 Reorder the terms: 72 + -63 + 27x + -12x = 0 Combine like terms: 72 + -63 = 9 9 + 27x + -12x = 0 Combine like terms: 27x + -12x = 15x 9 + 15x = 0 Solving 9 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 15x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 15x = 0 + -9 15x = 0 + -9 Combine like terms: 0 + -9 = -9 15x = -9 Divide each side by '15'. x = -0.6 Simplifying x = -0.6
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