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Simplifying 8(x + 5) + 6(7 + -1x) = 0 Reorder the terms: 8(5 + x) + 6(7 + -1x) = 0 (5 * 8 + x * 8) + 6(7 + -1x) = 0 (40 + 8x) + 6(7 + -1x) = 0 40 + 8x + (7 * 6 + -1x * 6) = 0 40 + 8x + (42 + -6x) = 0 Reorder the terms: 40 + 42 + 8x + -6x = 0 Combine like terms: 40 + 42 = 82 82 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x 82 + 2x = 0 Solving 82 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 2x = 0 + -82 Combine like terms: 82 + -82 = 0 0 + 2x = 0 + -82 2x = 0 + -82 Combine like terms: 0 + -82 = -82 2x = -82 Divide each side by '2'. x = -41 Simplifying x = -41
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