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Simplifying 9(x + 10) + -5(x + -6) = 0 Reorder the terms: 9(10 + x) + -5(x + -6) = 0 (10 * 9 + x * 9) + -5(x + -6) = 0 (90 + 9x) + -5(x + -6) = 0 Reorder the terms: 90 + 9x + -5(-6 + x) = 0 90 + 9x + (-6 * -5 + x * -5) = 0 90 + 9x + (30 + -5x) = 0 Reorder the terms: 90 + 30 + 9x + -5x = 0 Combine like terms: 90 + 30 = 120 120 + 9x + -5x = 0 Combine like terms: 9x + -5x = 4x 120 + 4x = 0 Solving 120 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 4x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 4x = 0 + -120 4x = 0 + -120 Combine like terms: 0 + -120 = -120 4x = -120 Divide each side by '4'. x = -30 Simplifying x = -30
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