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Simplifying 16(2x + 5) + -5(x + -8) = 0 Reorder the terms: 16(5 + 2x) + -5(x + -8) = 0 (5 * 16 + 2x * 16) + -5(x + -8) = 0 (80 + 32x) + -5(x + -8) = 0 Reorder the terms: 80 + 32x + -5(-8 + x) = 0 80 + 32x + (-8 * -5 + x * -5) = 0 80 + 32x + (40 + -5x) = 0 Reorder the terms: 80 + 40 + 32x + -5x = 0 Combine like terms: 80 + 40 = 120 120 + 32x + -5x = 0 Combine like terms: 32x + -5x = 27x 120 + 27x = 0 Solving 120 + 27x = 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 + 27x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 27x = 0 + -120 27x = 0 + -120 Combine like terms: 0 + -120 = -120 27x = -120 Divide each side by '27'. x = -4.444444444 Simplifying x = -4.444444444
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