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Simplifying 9(x + -7) + 14(x + 11) = 0 Reorder the terms: 9(-7 + x) + 14(x + 11) = 0 (-7 * 9 + x * 9) + 14(x + 11) = 0 (-63 + 9x) + 14(x + 11) = 0 Reorder the terms: -63 + 9x + 14(11 + x) = 0 -63 + 9x + (11 * 14 + x * 14) = 0 -63 + 9x + (154 + 14x) = 0 Reorder the terms: -63 + 154 + 9x + 14x = 0 Combine like terms: -63 + 154 = 91 91 + 9x + 14x = 0 Combine like terms: 9x + 14x = 23x 91 + 23x = 0 Solving 91 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + 23x = 0 + -91 Combine like terms: 91 + -91 = 0 0 + 23x = 0 + -91 23x = 0 + -91 Combine like terms: 0 + -91 = -91 23x = -91 Divide each side by '23'. x = -3.956521739 Simplifying x = -3.956521739
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