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Simplifying 17X + -1(3 + 8 + -9X + -7X) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X Combine like terms: 3 + 8 = 11 17X + -1(11 + -9X + -7X) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X Combine like terms: -9X + -7X = -16X 17X + -1(11 + -16X) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X 17X + (11 * -1 + -16X * -1) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X 17X + (-11 + 16X) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X Reorder the terms: -11 + -43 + 4 + -2 + 17X + 16X + 6X + -6X = 20 + -17 + 6 + -32X Combine like terms: -11 + -43 = -54 -54 + 4 + -2 + 17X + 16X + 6X + -6X = 20 + -17 + 6 + -32X Combine like terms: -54 + 4 = -50 -50 + -2 + 17X + 16X + 6X + -6X = 20 + -17 + 6 + -32X Combine like terms: -50 + -2 = -52 -52 + 17X + 16X + 6X + -6X = 20 + -17 + 6 + -32X Combine like terms: 17X + 16X = 33X -52 + 33X + 6X + -6X = 20 + -17 + 6 + -32X Combine like terms: 33X + 6X = 39X -52 + 39X + -6X = 20 + -17 + 6 + -32X Combine like terms: 39X + -6X = 33X -52 + 33X = 20 + -17 + 6 + -32X Combine like terms: 20 + -17 = 3 -52 + 33X = 3 + 6 + -32X Combine like terms: 3 + 6 = 9 -52 + 33X = 9 + -32X Solving -52 + 33X = 9 + -32X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '32X' to each side of the equation. -52 + 33X + 32X = 9 + -32X + 32X Combine like terms: 33X + 32X = 65X -52 + 65X = 9 + -32X + 32X Combine like terms: -32X + 32X = 0 -52 + 65X = 9 + 0 -52 + 65X = 9 Add '52' to each side of the equation. -52 + 52 + 65X = 9 + 52 Combine like terms: -52 + 52 = 0 0 + 65X = 9 + 52 65X = 9 + 52 Combine like terms: 9 + 52 = 61 65X = 61 Divide each side by '65'. X = 0.9384615385 Simplifying X = 0.9384615385
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