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Simplifying 6[6 + -7(x + -1)] + 4[(5x + 3) + -4] = 17x + -332 Reorder the terms: 6[6 + -7(-1 + x)] + 4[(5x + 3) + -4] = 17x + -332 6[6 + (-1 * -7 + x * -7)] + 4[(5x + 3) + -4] = 17x + -332 6[6 + (7 + -7x)] + 4[(5x + 3) + -4] = 17x + -332 Combine like terms: 6 + 7 = 13 6[13 + -7x] + 4[(5x + 3) + -4] = 17x + -332 [13 * 6 + -7x * 6] + 4[(5x + 3) + -4] = 17x + -332 [78 + -42x] + 4[(5x + 3) + -4] = 17x + -332 Reorder the terms: 78 + -42x + 4[(3 + 5x) + -4] = 17x + -332 Remove parenthesis around (3 + 5x) 78 + -42x + 4[3 + 5x + -4] = 17x + -332 Reorder the terms: 78 + -42x + 4[3 + -4 + 5x] = 17x + -332 Combine like terms: 3 + -4 = -1 78 + -42x + 4[-1 + 5x] = 17x + -332 78 + -42x + [-1 * 4 + 5x * 4] = 17x + -332 78 + -42x + [-4 + 20x] = 17x + -332 Reorder the terms: 78 + -4 + -42x + 20x = 17x + -332 Combine like terms: 78 + -4 = 74 74 + -42x + 20x = 17x + -332 Combine like terms: -42x + 20x = -22x 74 + -22x = 17x + -332 Reorder the terms: 74 + -22x = -332 + 17x Solving 74 + -22x = -332 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 74 + -22x + -17x = -332 + 17x + -17x Combine like terms: -22x + -17x = -39x 74 + -39x = -332 + 17x + -17x Combine like terms: 17x + -17x = 0 74 + -39x = -332 + 0 74 + -39x = -332 Add '-74' to each side of the equation. 74 + -74 + -39x = -332 + -74 Combine like terms: 74 + -74 = 0 0 + -39x = -332 + -74 -39x = -332 + -74 Combine like terms: -332 + -74 = -406 -39x = -406 Divide each side by '-39'. x = 10.41025641 Simplifying x = 10.41025641
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