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Simplifying 7x + -1[4 + -2(2x + -9)] = 0 Reorder the terms: 7x + -1[4 + -2(-9 + 2x)] = 0 7x + -1[4 + (-9 * -2 + 2x * -2)] = 0 7x + -1[4 + (18 + -4x)] = 0 Combine like terms: 4 + 18 = 22 7x + -1[22 + -4x] = 0 7x + [22 * -1 + -4x * -1] = 0 7x + [-22 + 4x] = 0 Reorder the terms: -22 + 7x + 4x = 0 Combine like terms: 7x + 4x = 11x -22 + 11x = 0 Solving -22 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 11x = 0 + 22 11x = 0 + 22 Combine like terms: 0 + 22 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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