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Simplifying 7x + -1[5x + -2(4x + -1)] = 0 Reorder the terms: 7x + -1[5x + -2(-1 + 4x)] = 0 7x + -1[5x + (-1 * -2 + 4x * -2)] = 0 7x + -1[5x + (2 + -8x)] = 0 Reorder the terms: 7x + -1[2 + 5x + -8x] = 0 Combine like terms: 5x + -8x = -3x 7x + -1[2 + -3x] = 0 7x + [2 * -1 + -3x * -1] = 0 7x + [-2 + 3x] = 0 Reorder the terms: -2 + 7x + 3x = 0 Combine like terms: 7x + 3x = 10x -2 + 10x = 0 Solving -2 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 0 + 2 10x = 0 + 2 Combine like terms: 0 + 2 = 2 10x = 2 Divide each side by '10'. x = 0.2 Simplifying x = 0.2
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