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Simplifying 7[5 + -1(-3x + -6)] = 63x + 161 Reorder the terms: 7[5 + -1(-6 + -3x)] = 63x + 161 7[5 + (-6 * -1 + -3x * -1)] = 63x + 161 7[5 + (6 + 3x)] = 63x + 161 Combine like terms: 5 + 6 = 11 7[11 + 3x] = 63x + 161 [11 * 7 + 3x * 7] = 63x + 161 [77 + 21x] = 63x + 161 Reorder the terms: 77 + 21x = 161 + 63x Solving 77 + 21x = 161 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 77 + 21x + -63x = 161 + 63x + -63x Combine like terms: 21x + -63x = -42x 77 + -42x = 161 + 63x + -63x Combine like terms: 63x + -63x = 0 77 + -42x = 161 + 0 77 + -42x = 161 Add '-77' to each side of the equation. 77 + -77 + -42x = 161 + -77 Combine like terms: 77 + -77 = 0 0 + -42x = 161 + -77 -42x = 161 + -77 Combine like terms: 161 + -77 = 84 -42x = 84 Divide each side by '-42'. x = -2 Simplifying x = -2
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