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Simplifying (7x + -1) + -1(6x + -9) = 0 Reorder the terms: (-1 + 7x) + -1(6x + -9) = 0 Remove parenthesis around (-1 + 7x) -1 + 7x + -1(6x + -9) = 0 Reorder the terms: -1 + 7x + -1(-9 + 6x) = 0 -1 + 7x + (-9 * -1 + 6x * -1) = 0 -1 + 7x + (9 + -6x) = 0 Reorder the terms: -1 + 9 + 7x + -6x = 0 Combine like terms: -1 + 9 = 8 8 + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x 8 + 1x = 0 Solving 8 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 0 + -8 1x = 0 + -8 Combine like terms: 0 + -8 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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