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Simplifying x + -9(x + 3) + -5 = 11 + 3(9 + -3) * 81 Reorder the terms: x + -9(3 + x) + -5 = 11 + 3(9 + -3) * 81 x + (3 * -9 + x * -9) + -5 = 11 + 3(9 + -3) * 81 x + (-27 + -9x) + -5 = 11 + 3(9 + -3) * 81 Reorder the terms: -27 + -5 + x + -9x = 11 + 3(9 + -3) * 81 Combine like terms: -27 + -5 = -32 -32 + x + -9x = 11 + 3(9 + -3) * 81 Combine like terms: x + -9x = -8x -32 + -8x = 11 + 3(9 + -3) * 81 Combine like terms: 9 + -3 = 6 -32 + -8x = 11 + 3(6) * 81 Multiply 3 * 6 -32 + -8x = 11 + 18 * 81 Multiply 18 * 81 -32 + -8x = 11 + 1458 Combine like terms: 11 + 1458 = 1469 -32 + -8x = 1469 Solving -32 + -8x = 1469 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -8x = 1469 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = 1469 + 32 -8x = 1469 + 32 Combine like terms: 1469 + 32 = 1501 -8x = 1501 Divide each side by '-8'. x = -187.625 Simplifying x = -187.625
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