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Simplifying 9(x + 1) = 6 + -2(8x + 7) Reorder the terms: 9(1 + x) = 6 + -2(8x + 7) (1 * 9 + x * 9) = 6 + -2(8x + 7) (9 + 9x) = 6 + -2(8x + 7) Reorder the terms: 9 + 9x = 6 + -2(7 + 8x) 9 + 9x = 6 + (7 * -2 + 8x * -2) 9 + 9x = 6 + (-14 + -16x) Combine like terms: 6 + -14 = -8 9 + 9x = -8 + -16x Solving 9 + 9x = -8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 9 + 9x + 16x = -8 + -16x + 16x Combine like terms: 9x + 16x = 25x 9 + 25x = -8 + -16x + 16x Combine like terms: -16x + 16x = 0 9 + 25x = -8 + 0 9 + 25x = -8 Add '-9' to each side of the equation. 9 + -9 + 25x = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 25x = -8 + -9 25x = -8 + -9 Combine like terms: -8 + -9 = -17 25x = -17 Divide each side by '25'. x = -0.68 Simplifying x = -0.68
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