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Simplifying 9(x + -7) + 14(x + 10) = 0 Reorder the terms: 9(-7 + x) + 14(x + 10) = 0 (-7 * 9 + x * 9) + 14(x + 10) = 0 (-63 + 9x) + 14(x + 10) = 0 Reorder the terms: -63 + 9x + 14(10 + x) = 0 -63 + 9x + (10 * 14 + x * 14) = 0 -63 + 9x + (140 + 14x) = 0 Reorder the terms: -63 + 140 + 9x + 14x = 0 Combine like terms: -63 + 140 = 77 77 + 9x + 14x = 0 Combine like terms: 9x + 14x = 23x 77 + 23x = 0 Solving 77 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 23x = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 23x = 0 + -77 23x = 0 + -77 Combine like terms: 0 + -77 = -77 23x = -77 Divide each side by '23'. x = -3.347826087 Simplifying x = -3.347826087
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