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Simplifying 9(x + -1) + 14(x + 6) = 0 Reorder the terms: 9(-1 + x) + 14(x + 6) = 0 (-1 * 9 + x * 9) + 14(x + 6) = 0 (-9 + 9x) + 14(x + 6) = 0 Reorder the terms: -9 + 9x + 14(6 + x) = 0 -9 + 9x + (6 * 14 + x * 14) = 0 -9 + 9x + (84 + 14x) = 0 Reorder the terms: -9 + 84 + 9x + 14x = 0 Combine like terms: -9 + 84 = 75 75 + 9x + 14x = 0 Combine like terms: 9x + 14x = 23x 75 + 23x = 0 Solving 75 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 23x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 23x = 0 + -75 23x = 0 + -75 Combine like terms: 0 + -75 = -75 23x = -75 Divide each side by '23'. x = -3.260869565 Simplifying x = -3.260869565
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