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Simplifying -1(-1X + -101) + -32 = -1[-1(-2) + -1(-41)] Reorder the terms: -1(-101 + -1X) + -32 = -1[-1(-2) + -1(-41)] (-101 * -1 + -1X * -1) + -32 = -1[-1(-2) + -1(-41)] (101 + 1X) + -32 = -1[-1(-2) + -1(-41)] Reorder the terms: 101 + -32 + 1X = -1[-1(-2) + -1(-41)] Combine like terms: 101 + -32 = 69 69 + 1X = -1[-1(-2) + -1(-41)] Multiply -1 * -2 69 + 1X = -1[2 + -1(-41)] Multiply -1 * -41 69 + 1X = -1[2 + 41] Combine like terms: 2 + 41 = 43 69 + 1X = -1[43] Multiply -1 * 43 69 + 1X = -43 Solving 69 + 1X = -43 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 1X = -43 + -69 Combine like terms: 69 + -69 = 0 0 + 1X = -43 + -69 1X = -43 + -69 Combine like terms: -43 + -69 = -112 1X = -112 Divide each side by '1'. X = -112 Simplifying X = -112
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