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Simplifying 6(7 + -1(5x + -7)) + 8x = 0 Reorder the terms: 6(7 + -1(-7 + 5x)) + 8x = 0 6(7 + (-7 * -1 + 5x * -1)) + 8x = 0 6(7 + (7 + -5x)) + 8x = 0 Combine like terms: 7 + 7 = 14 6(14 + -5x) + 8x = 0 (14 * 6 + -5x * 6) + 8x = 0 (84 + -30x) + 8x = 0 Combine like terms: -30x + 8x = -22x 84 + -22x = 0 Solving 84 + -22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -22x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -22x = 0 + -84 -22x = 0 + -84 Combine like terms: 0 + -84 = -84 -22x = -84 Divide each side by '-22'. x = 3.818181818 Simplifying x = 3.818181818
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