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Simplifying 7x + -5[5x + -3(4x + 2) + -1] = 0 Reorder the terms: 7x + -5[5x + -3(2 + 4x) + -1] = 0 7x + -5[5x + (2 * -3 + 4x * -3) + -1] = 0 7x + -5[5x + (-6 + -12x) + -1] = 0 Reorder the terms: 7x + -5[-6 + -1 + 5x + -12x] = 0 Combine like terms: -6 + -1 = -7 7x + -5[-7 + 5x + -12x] = 0 Combine like terms: 5x + -12x = -7x 7x + -5[-7 + -7x] = 0 7x + [-7 * -5 + -7x * -5] = 0 7x + [35 + 35x] = 0 Reorder the terms: 35 + 7x + 35x = 0 Combine like terms: 7x + 35x = 42x 35 + 42x = 0 Solving 35 + 42x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 42x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 42x = 0 + -35 42x = 0 + -35 Combine like terms: 0 + -35 = -35 42x = -35 Divide each side by '42'. x = -0.8333333333 Simplifying x = -0.8333333333
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