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Simplifying 8 + 7[1 + 2(2x + -7)] = 6(x + 8) Reorder the terms: 8 + 7[1 + 2(-7 + 2x)] = 6(x + 8) 8 + 7[1 + (-7 * 2 + 2x * 2)] = 6(x + 8) 8 + 7[1 + (-14 + 4x)] = 6(x + 8) Combine like terms: 1 + -14 = -13 8 + 7[-13 + 4x] = 6(x + 8) 8 + [-13 * 7 + 4x * 7] = 6(x + 8) 8 + [-91 + 28x] = 6(x + 8) Combine like terms: 8 + -91 = -83 -83 + 28x = 6(x + 8) Reorder the terms: -83 + 28x = 6(8 + x) -83 + 28x = (8 * 6 + x * 6) -83 + 28x = (48 + 6x) Solving -83 + 28x = 48 + 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. -83 + 28x + -6x = 48 + 6x + -6x Combine like terms: 28x + -6x = 22x -83 + 22x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 -83 + 22x = 48 + 0 -83 + 22x = 48 Add '83' to each side of the equation. -83 + 83 + 22x = 48 + 83 Combine like terms: -83 + 83 = 0 0 + 22x = 48 + 83 22x = 48 + 83 Combine like terms: 48 + 83 = 131 22x = 131 Divide each side by '22'. x = 5.954545455 Simplifying x = 5.954545455
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