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Simplifying 9x + 2(x + 7) = 9(x + 4) + -6 Reorder the terms: 9x + 2(7 + x) = 9(x + 4) + -6 9x + (7 * 2 + x * 2) = 9(x + 4) + -6 9x + (14 + 2x) = 9(x + 4) + -6 Reorder the terms: 14 + 9x + 2x = 9(x + 4) + -6 Combine like terms: 9x + 2x = 11x 14 + 11x = 9(x + 4) + -6 Reorder the terms: 14 + 11x = 9(4 + x) + -6 14 + 11x = (4 * 9 + x * 9) + -6 14 + 11x = (36 + 9x) + -6 Reorder the terms: 14 + 11x = 36 + -6 + 9x Combine like terms: 36 + -6 = 30 14 + 11x = 30 + 9x Solving 14 + 11x = 30 + 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. 14 + 11x + -9x = 30 + 9x + -9x Combine like terms: 11x + -9x = 2x 14 + 2x = 30 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + 2x = 30 + 0 14 + 2x = 30 Add '-14' to each side of the equation. 14 + -14 + 2x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 30 + -14 2x = 30 + -14 Combine like terms: 30 + -14 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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