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Simplifying 5(6x + 5) + 9(9 + -1x) = 0 Reorder the terms: 5(5 + 6x) + 9(9 + -1x) = 0 (5 * 5 + 6x * 5) + 9(9 + -1x) = 0 (25 + 30x) + 9(9 + -1x) = 0 25 + 30x + (9 * 9 + -1x * 9) = 0 25 + 30x + (81 + -9x) = 0 Reorder the terms: 25 + 81 + 30x + -9x = 0 Combine like terms: 25 + 81 = 106 106 + 30x + -9x = 0 Combine like terms: 30x + -9x = 21x 106 + 21x = 0 Solving 106 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + 21x = 0 + -106 Combine like terms: 106 + -106 = 0 0 + 21x = 0 + -106 21x = 0 + -106 Combine like terms: 0 + -106 = -106 21x = -106 Divide each side by '21'. x = -5.047619048 Simplifying x = -5.047619048
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