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Simplifying 9(x + -6) + 14(x + 9) = 0 Reorder the terms: 9(-6 + x) + 14(x + 9) = 0 (-6 * 9 + x * 9) + 14(x + 9) = 0 (-54 + 9x) + 14(x + 9) = 0 Reorder the terms: -54 + 9x + 14(9 + x) = 0 -54 + 9x + (9 * 14 + x * 14) = 0 -54 + 9x + (126 + 14x) = 0 Reorder the terms: -54 + 126 + 9x + 14x = 0 Combine like terms: -54 + 126 = 72 72 + 9x + 14x = 0 Combine like terms: 9x + 14x = 23x 72 + 23x = 0 Solving 72 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 23x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 23x = 0 + -72 23x = 0 + -72 Combine like terms: 0 + -72 = -72 23x = -72 Divide each side by '23'. x = -3.130434783 Simplifying x = -3.130434783
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