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Simplifying 5(13 + 9x) + -6(6 + 7x) = 0 (13 * 5 + 9x * 5) + -6(6 + 7x) = 0 (65 + 45x) + -6(6 + 7x) = 0 65 + 45x + (6 * -6 + 7x * -6) = 0 65 + 45x + (-36 + -42x) = 0 Reorder the terms: 65 + -36 + 45x + -42x = 0 Combine like terms: 65 + -36 = 29 29 + 45x + -42x = 0 Combine like terms: 45x + -42x = 3x 29 + 3x = 0 Solving 29 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 3x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 3x = 0 + -29 3x = 0 + -29 Combine like terms: 0 + -29 = -29 3x = -29 Divide each side by '3'. x = -9.666666667 Simplifying x = -9.666666667
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