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Simplifying -1[x + -1(-5x + 4)] = 1 + -1(7x + 3) Reorder the terms: -1[x + -1(4 + -5x)] = 1 + -1(7x + 3) -1[x + (4 * -1 + -5x * -1)] = 1 + -1(7x + 3) -1[x + (-4 + 5x)] = 1 + -1(7x + 3) Reorder the terms: -1[-4 + x + 5x] = 1 + -1(7x + 3) Combine like terms: x + 5x = 6x -1[-4 + 6x] = 1 + -1(7x + 3) [-4 * -1 + 6x * -1] = 1 + -1(7x + 3) [4 + -6x] = 1 + -1(7x + 3) Reorder the terms: 4 + -6x = 1 + -1(3 + 7x) 4 + -6x = 1 + (3 * -1 + 7x * -1) 4 + -6x = 1 + (-3 + -7x) Combine like terms: 1 + -3 = -2 4 + -6x = -2 + -7x Solving 4 + -6x = -2 + -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. 4 + -6x + 7x = -2 + -7x + 7x Combine like terms: -6x + 7x = 1x 4 + 1x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 1x = -2 + 0 4 + 1x = -2 Add '-4' to each side of the equation. 4 + -4 + 1x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -2 + -4 1x = -2 + -4 Combine like terms: -2 + -4 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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