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Simplifying 7x + -1(9 + -2x) = 8 + (6x + -9) 7x + (9 * -1 + -2x * -1) = 8 + (6x + -9) 7x + (-9 + 2x) = 8 + (6x + -9) Reorder the terms: -9 + 7x + 2x = 8 + (6x + -9) Combine like terms: 7x + 2x = 9x -9 + 9x = 8 + (6x + -9) Reorder the terms: -9 + 9x = 8 + (-9 + 6x) Remove parenthesis around (-9 + 6x) -9 + 9x = 8 + -9 + 6x Combine like terms: 8 + -9 = -1 -9 + 9x = -1 + 6x Solving -9 + 9x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 9x + -6x = -1 + 6x + -6x Combine like terms: 9x + -6x = 3x -9 + 3x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 3x = -1 + 0 -9 + 3x = -1 Add '9' to each side of the equation. -9 + 9 + 3x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -1 + 9 3x = -1 + 9 Combine like terms: -1 + 9 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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