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Simplifying 6[8 + -1(-9x + -9)] = 378x + 426 Reorder the terms: 6[8 + -1(-9 + -9x)] = 378x + 426 6[8 + (-9 * -1 + -9x * -1)] = 378x + 426 6[8 + (9 + 9x)] = 378x + 426 Combine like terms: 8 + 9 = 17 6[17 + 9x] = 378x + 426 [17 * 6 + 9x * 6] = 378x + 426 [102 + 54x] = 378x + 426 Reorder the terms: 102 + 54x = 426 + 378x Solving 102 + 54x = 426 + 378x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-378x' to each side of the equation. 102 + 54x + -378x = 426 + 378x + -378x Combine like terms: 54x + -378x = -324x 102 + -324x = 426 + 378x + -378x Combine like terms: 378x + -378x = 0 102 + -324x = 426 + 0 102 + -324x = 426 Add '-102' to each side of the equation. 102 + -102 + -324x = 426 + -102 Combine like terms: 102 + -102 = 0 0 + -324x = 426 + -102 -324x = 426 + -102 Combine like terms: 426 + -102 = 324 -324x = 324 Divide each side by '-324'. x = -1 Simplifying x = -1
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