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Simplifying (x + 1)(1 + 1) = 9x + 6 Reorder the terms: (1 + x)(1 + 1) = 9x + 6 Combine like terms: 1 + 1 = 2 (1 + x)(2) = 9x + 6 Reorder the terms for easier multiplication: 2(1 + x) = 9x + 6 (1 * 2 + x * 2) = 9x + 6 (2 + 2x) = 9x + 6 Reorder the terms: 2 + 2x = 6 + 9x Solving 2 + 2x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 2x + -9x = 6 + 9x + -9x Combine like terms: 2x + -9x = -7x 2 + -7x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -7x = 6 + 0 2 + -7x = 6 Add '-2' to each side of the equation. 2 + -2 + -7x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 6 + -2 -7x = 6 + -2 Combine like terms: 6 + -2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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