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Simplifying 9(x + 1) + 8(x + 1) = 6x + -6 Reorder the terms: 9(1 + x) + 8(x + 1) = 6x + -6 (1 * 9 + x * 9) + 8(x + 1) = 6x + -6 (9 + 9x) + 8(x + 1) = 6x + -6 Reorder the terms: 9 + 9x + 8(1 + x) = 6x + -6 9 + 9x + (1 * 8 + x * 8) = 6x + -6 9 + 9x + (8 + 8x) = 6x + -6 Reorder the terms: 9 + 8 + 9x + 8x = 6x + -6 Combine like terms: 9 + 8 = 17 17 + 9x + 8x = 6x + -6 Combine like terms: 9x + 8x = 17x 17 + 17x = 6x + -6 Reorder the terms: 17 + 17x = -6 + 6x Solving 17 + 17x = -6 + 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. 17 + 17x + -6x = -6 + 6x + -6x Combine like terms: 17x + -6x = 11x 17 + 11x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 11x = -6 + 0 17 + 11x = -6 Add '-17' to each side of the equation. 17 + -17 + 11x = -6 + -17 Combine like terms: 17 + -17 = 0 0 + 11x = -6 + -17 11x = -6 + -17 Combine like terms: -6 + -17 = -23 11x = -23 Divide each side by '11'. x = -2.090909091 Simplifying x = -2.090909091
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