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Simplifying 9x + -1(5x + 2) + -1[7x + 4 + -1(x + -2)] = 0 Reorder the terms: 9x + -1(2 + 5x) + -1[7x + 4 + -1(x + -2)] = 0 9x + (2 * -1 + 5x * -1) + -1[7x + 4 + -1(x + -2)] = 0 9x + (-2 + -5x) + -1[7x + 4 + -1(x + -2)] = 0 Reorder the terms: 9x + -2 + -5x + -1[7x + 4 + -1(-2 + x)] = 0 9x + -2 + -5x + -1[7x + 4 + (-2 * -1 + x * -1)] = 0 9x + -2 + -5x + -1[7x + 4 + (2 + -1x)] = 0 Reorder the terms: 9x + -2 + -5x + -1[4 + 2 + 7x + -1x] = 0 Combine like terms: 4 + 2 = 6 9x + -2 + -5x + -1[6 + 7x + -1x] = 0 Combine like terms: 7x + -1x = 6x 9x + -2 + -5x + -1[6 + 6x] = 0 9x + -2 + -5x + [6 * -1 + 6x * -1] = 0 9x + -2 + -5x + [-6 + -6x] = 0 Reorder the terms: -2 + -6 + 9x + -5x + -6x = 0 Combine like terms: -2 + -6 = -8 -8 + 9x + -5x + -6x = 0 Combine like terms: 9x + -5x = 4x -8 + 4x + -6x = 0 Combine like terms: 4x + -6x = -2x -8 + -2x = 0 Solving -8 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 0 + 8 -2x = 0 + 8 Combine like terms: 0 + 8 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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