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Simplifying 7(3x + 9) + -6(2x + 5) = 0 Reorder the terms: 7(9 + 3x) + -6(2x + 5) = 0 (9 * 7 + 3x * 7) + -6(2x + 5) = 0 (63 + 21x) + -6(2x + 5) = 0 Reorder the terms: 63 + 21x + -6(5 + 2x) = 0 63 + 21x + (5 * -6 + 2x * -6) = 0 63 + 21x + (-30 + -12x) = 0 Reorder the terms: 63 + -30 + 21x + -12x = 0 Combine like terms: 63 + -30 = 33 33 + 21x + -12x = 0 Combine like terms: 21x + -12x = 9x 33 + 9x = 0 Solving 33 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 9x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 9x = 0 + -33 9x = 0 + -33 Combine like terms: 0 + -33 = -33 9x = -33 Divide each side by '9'. x = -3.666666667 Simplifying x = -3.666666667
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