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Simplifying 9 + 7[1 + 2(2x + -7)] = 6(x + 9) Reorder the terms: 9 + 7[1 + 2(-7 + 2x)] = 6(x + 9) 9 + 7[1 + (-7 * 2 + 2x * 2)] = 6(x + 9) 9 + 7[1 + (-14 + 4x)] = 6(x + 9) Combine like terms: 1 + -14 = -13 9 + 7[-13 + 4x] = 6(x + 9) 9 + [-13 * 7 + 4x * 7] = 6(x + 9) 9 + [-91 + 28x] = 6(x + 9) Combine like terms: 9 + -91 = -82 -82 + 28x = 6(x + 9) Reorder the terms: -82 + 28x = 6(9 + x) -82 + 28x = (9 * 6 + x * 6) -82 + 28x = (54 + 6x) Solving -82 + 28x = 54 + 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. -82 + 28x + -6x = 54 + 6x + -6x Combine like terms: 28x + -6x = 22x -82 + 22x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 -82 + 22x = 54 + 0 -82 + 22x = 54 Add '82' to each side of the equation. -82 + 82 + 22x = 54 + 82 Combine like terms: -82 + 82 = 0 0 + 22x = 54 + 82 22x = 54 + 82 Combine like terms: 54 + 82 = 136 22x = 136 Divide each side by '22'. x = 6.181818182 Simplifying x = 6.181818182
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