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Simplifying 4x + -9[9(x + 3) + -1(x + -2)] + -6 = 0 Reorder the terms: 4x + -9[9(3 + x) + -1(x + -2)] + -6 = 0 4x + -9[(3 * 9 + x * 9) + -1(x + -2)] + -6 = 0 4x + -9[(27 + 9x) + -1(x + -2)] + -6 = 0 Reorder the terms: 4x + -9[27 + 9x + -1(-2 + x)] + -6 = 0 4x + -9[27 + 9x + (-2 * -1 + x * -1)] + -6 = 0 4x + -9[27 + 9x + (2 + -1x)] + -6 = 0 Reorder the terms: 4x + -9[27 + 2 + 9x + -1x] + -6 = 0 Combine like terms: 27 + 2 = 29 4x + -9[29 + 9x + -1x] + -6 = 0 Combine like terms: 9x + -1x = 8x 4x + -9[29 + 8x] + -6 = 0 4x + [29 * -9 + 8x * -9] + -6 = 0 4x + [-261 + -72x] + -6 = 0 Reorder the terms: -261 + -6 + 4x + -72x = 0 Combine like terms: -261 + -6 = -267 -267 + 4x + -72x = 0 Combine like terms: 4x + -72x = -68x -267 + -68x = 0 Solving -267 + -68x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '267' to each side of the equation. -267 + 267 + -68x = 0 + 267 Combine like terms: -267 + 267 = 0 0 + -68x = 0 + 267 -68x = 0 + 267 Combine like terms: 0 + 267 = 267 -68x = 267 Divide each side by '-68'. x = -3.926470588 Simplifying x = -3.926470588
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