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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 = -133 -133 + 1X = -1[-1(-2) + -1(-41)] Multiply -1 * -2 -133 + 1X = -1[2 + -1(-41)] Multiply -1 * -41 -133 + 1X = -1[2 + 41] Combine like terms: 2 + 41 = 43 -133 + 1X = -1[43] Multiply -1 * 43 -133 + 1X = -43 Solving -133 + 1X = -43 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '133' to each side of the equation. -133 + 133 + 1X = -43 + 133 Combine like terms: -133 + 133 = 0 0 + 1X = -43 + 133 1X = -43 + 133 Combine like terms: -43 + 133 = 90 1X = 90 Divide each side by '1'. X = 90 Simplifying X = 90
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