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Simplifying 4x + -9[9(x + 5) + -1(x + -2)] + -9 = 0 Reorder the terms: 4x + -9[9(5 + x) + -1(x + -2)] + -9 = 0 4x + -9[(5 * 9 + x * 9) + -1(x + -2)] + -9 = 0 4x + -9[(45 + 9x) + -1(x + -2)] + -9 = 0 Reorder the terms: 4x + -9[45 + 9x + -1(-2 + x)] + -9 = 0 4x + -9[45 + 9x + (-2 * -1 + x * -1)] + -9 = 0 4x + -9[45 + 9x + (2 + -1x)] + -9 = 0 Reorder the terms: 4x + -9[45 + 2 + 9x + -1x] + -9 = 0 Combine like terms: 45 + 2 = 47 4x + -9[47 + 9x + -1x] + -9 = 0 Combine like terms: 9x + -1x = 8x 4x + -9[47 + 8x] + -9 = 0 4x + [47 * -9 + 8x * -9] + -9 = 0 4x + [-423 + -72x] + -9 = 0 Reorder the terms: -423 + -9 + 4x + -72x = 0 Combine like terms: -423 + -9 = -432 -432 + 4x + -72x = 0 Combine like terms: 4x + -72x = -68x -432 + -68x = 0 Solving -432 + -68x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '432' to each side of the equation. -432 + 432 + -68x = 0 + 432 Combine like terms: -432 + 432 = 0 0 + -68x = 0 + 432 -68x = 0 + 432 Combine like terms: 0 + 432 = 432 -68x = 432 Divide each side by '-68'. x = -6.352941176 Simplifying x = -6.352941176
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