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Simplifying 3x + -1[2(1 + -2x) + -5] = 5 + -7x 3x + -1[(1 * 2 + -2x * 2) + -5] = 5 + -7x 3x + -1[(2 + -4x) + -5] = 5 + -7x Reorder the terms: 3x + -1[2 + -5 + -4x] = 5 + -7x Combine like terms: 2 + -5 = -3 3x + -1[-3 + -4x] = 5 + -7x 3x + [-3 * -1 + -4x * -1] = 5 + -7x 3x + [3 + 4x] = 5 + -7x Reorder the terms: 3 + 3x + 4x = 5 + -7x Combine like terms: 3x + 4x = 7x 3 + 7x = 5 + -7x Solving 3 + 7x = 5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + 7x + 7x = 5 + -7x + 7x Combine like terms: 7x + 7x = 14x 3 + 14x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 14x = 5 + 0 3 + 14x = 5 Add '-3' to each side of the equation. 3 + -3 + 14x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 5 + -3 14x = 5 + -3 Combine like terms: 5 + -3 = 2 14x = 2 Divide each side by '14'. x = 0.1428571429 Simplifying x = 0.1428571429
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