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Simplifying 7(5x + 10) + 6(8 + -1x) = 0 Reorder the terms: 7(10 + 5x) + 6(8 + -1x) = 0 (10 * 7 + 5x * 7) + 6(8 + -1x) = 0 (70 + 35x) + 6(8 + -1x) = 0 70 + 35x + (8 * 6 + -1x * 6) = 0 70 + 35x + (48 + -6x) = 0 Reorder the terms: 70 + 48 + 35x + -6x = 0 Combine like terms: 70 + 48 = 118 118 + 35x + -6x = 0 Combine like terms: 35x + -6x = 29x 118 + 29x = 0 Solving 118 + 29x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-118' to each side of the equation. 118 + -118 + 29x = 0 + -118 Combine like terms: 118 + -118 = 0 0 + 29x = 0 + -118 29x = 0 + -118 Combine like terms: 0 + -118 = -118 29x = -118 Divide each side by '29'. x = -4.068965517 Simplifying x = -4.068965517
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