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Simplifying 9(x + 1) + -1(2x + -7) = 8 Reorder the terms: 9(1 + x) + -1(2x + -7) = 8 (1 * 9 + x * 9) + -1(2x + -7) = 8 (9 + 9x) + -1(2x + -7) = 8 Reorder the terms: 9 + 9x + -1(-7 + 2x) = 8 9 + 9x + (-7 * -1 + 2x * -1) = 8 9 + 9x + (7 + -2x) = 8 Reorder the terms: 9 + 7 + 9x + -2x = 8 Combine like terms: 9 + 7 = 16 16 + 9x + -2x = 8 Combine like terms: 9x + -2x = 7x 16 + 7x = 8 Solving 16 + 7x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 8 + -16 7x = 8 + -16 Combine like terms: 8 + -16 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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