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Simplifying 9x + 2(x + 1) = 6(x + 7) Reorder the terms: 9x + 2(1 + x) = 6(x + 7) 9x + (1 * 2 + x * 2) = 6(x + 7) 9x + (2 + 2x) = 6(x + 7) Reorder the terms: 2 + 9x + 2x = 6(x + 7) Combine like terms: 9x + 2x = 11x 2 + 11x = 6(x + 7) Reorder the terms: 2 + 11x = 6(7 + x) 2 + 11x = (7 * 6 + x * 6) 2 + 11x = (42 + 6x) Solving 2 + 11x = 42 + 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. 2 + 11x + -6x = 42 + 6x + -6x Combine like terms: 11x + -6x = 5x 2 + 5x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 5x = 42 + 0 2 + 5x = 42 Add '-2' to each side of the equation. 2 + -2 + 5x = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 42 + -2 5x = 42 + -2 Combine like terms: 42 + -2 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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