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Simplifying 7[3 + -1(-3x + -8)] = 42x + 133 Reorder the terms: 7[3 + -1(-8 + -3x)] = 42x + 133 7[3 + (-8 * -1 + -3x * -1)] = 42x + 133 7[3 + (8 + 3x)] = 42x + 133 Combine like terms: 3 + 8 = 11 7[11 + 3x] = 42x + 133 [11 * 7 + 3x * 7] = 42x + 133 [77 + 21x] = 42x + 133 Reorder the terms: 77 + 21x = 133 + 42x Solving 77 + 21x = 133 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 77 + 21x + -42x = 133 + 42x + -42x Combine like terms: 21x + -42x = -21x 77 + -21x = 133 + 42x + -42x Combine like terms: 42x + -42x = 0 77 + -21x = 133 + 0 77 + -21x = 133 Add '-77' to each side of the equation. 77 + -77 + -21x = 133 + -77 Combine like terms: 77 + -77 = 0 0 + -21x = 133 + -77 -21x = 133 + -77 Combine like terms: 133 + -77 = 56 -21x = 56 Divide each side by '-21'. x = -2.666666667 Simplifying x = -2.666666667
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