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Simplifying 9[1 + -1(-2x + -6)] = 126x + 387 Reorder the terms: 9[1 + -1(-6 + -2x)] = 126x + 387 9[1 + (-6 * -1 + -2x * -1)] = 126x + 387 9[1 + (6 + 2x)] = 126x + 387 Combine like terms: 1 + 6 = 7 9[7 + 2x] = 126x + 387 [7 * 9 + 2x * 9] = 126x + 387 [63 + 18x] = 126x + 387 Reorder the terms: 63 + 18x = 387 + 126x Solving 63 + 18x = 387 + 126x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126x' to each side of the equation. 63 + 18x + -126x = 387 + 126x + -126x Combine like terms: 18x + -126x = -108x 63 + -108x = 387 + 126x + -126x Combine like terms: 126x + -126x = 0 63 + -108x = 387 + 0 63 + -108x = 387 Add '-63' to each side of the equation. 63 + -63 + -108x = 387 + -63 Combine like terms: 63 + -63 = 0 0 + -108x = 387 + -63 -108x = 387 + -63 Combine like terms: 387 + -63 = 324 -108x = 324 Divide each side by '-108'. x = -3 Simplifying x = -3
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