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Simplifying 7[5 + -1(-9x + -6)] = 189x + 161 Reorder the terms: 7[5 + -1(-6 + -9x)] = 189x + 161 7[5 + (-6 * -1 + -9x * -1)] = 189x + 161 7[5 + (6 + 9x)] = 189x + 161 Combine like terms: 5 + 6 = 11 7[11 + 9x] = 189x + 161 [11 * 7 + 9x * 7] = 189x + 161 [77 + 63x] = 189x + 161 Reorder the terms: 77 + 63x = 161 + 189x Solving 77 + 63x = 161 + 189x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-189x' to each side of the equation. 77 + 63x + -189x = 161 + 189x + -189x Combine like terms: 63x + -189x = -126x 77 + -126x = 161 + 189x + -189x Combine like terms: 189x + -189x = 0 77 + -126x = 161 + 0 77 + -126x = 161 Add '-77' to each side of the equation. 77 + -77 + -126x = 161 + -77 Combine like terms: 77 + -77 = 0 0 + -126x = 161 + -77 -126x = 161 + -77 Combine like terms: 161 + -77 = 84 -126x = 84 Divide each side by '-126'. x = -0.6666666667 Simplifying x = -0.6666666667
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