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Simplifying -1(2(x + -1) + -7) + -1(9x + -1(3 + -1x)) = 0 Reorder the terms: -1(2(-1 + x) + -7) + -1(9x + -1(3 + -1x)) = 0 -1((-1 * 2 + x * 2) + -7) + -1(9x + -1(3 + -1x)) = 0 -1((-2 + 2x) + -7) + -1(9x + -1(3 + -1x)) = 0 Reorder the terms: -1(-2 + -7 + 2x) + -1(9x + -1(3 + -1x)) = 0 Combine like terms: -2 + -7 = -9 -1(-9 + 2x) + -1(9x + -1(3 + -1x)) = 0 (-9 * -1 + 2x * -1) + -1(9x + -1(3 + -1x)) = 0 (9 + -2x) + -1(9x + -1(3 + -1x)) = 0 9 + -2x + -1(9x + (3 * -1 + -1x * -1)) = 0 9 + -2x + -1(9x + (-3 + 1x)) = 0 Reorder the terms: 9 + -2x + -1(-3 + 9x + 1x) = 0 Combine like terms: 9x + 1x = 10x 9 + -2x + -1(-3 + 10x) = 0 9 + -2x + (-3 * -1 + 10x * -1) = 0 9 + -2x + (3 + -10x) = 0 Reorder the terms: 9 + 3 + -2x + -10x = 0 Combine like terms: 9 + 3 = 12 12 + -2x + -10x = 0 Combine like terms: -2x + -10x = -12x 12 + -12x = 0 Solving 12 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -12x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 0 + -12 -12x = 0 + -12 Combine like terms: 0 + -12 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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